SlideShare una empresa de Scribd logo
1 de 2
Descargar para leer sin conexión
Formulas:
Solution
Here are the answers:
1. d = 7-2 = 5
2. a31 = -3+4(30) = 117
3. r = -1/2
4. a12 = 12(12-6) = 72
5. a4 = 1000(1/1000) = 1
6. since r =-3, so next term = 54
7. ar^6/a = r^6 = 11.4 => 0.2
8. -15
9. a(1/3)^4 = 1/108 => a = 3/4
10. r = -18/12 = -1.5
11. {Sum(n = 0to 4) }3*(4)^n
12. {Sum(n = 1to 6) }{7+(n-1)5)
13. S9 = 9/2 {2*4+8*8} = 324
14. S8 = 3(2^8-1)/1 = 765
15. S5 = 4(5)(5+1)/2 -3*5 = 45 { Using Sn = n(n+1)/2 for 1st n natural numberS)
16 S5 = 5(1*(3^5-1)/2= 605
17. S = 5*5 + 1/6(2+3+4+5+6) = 25+20/6 = 28.3
18. a200 = 1+199*4 = 797
19. 101 = 3 + (n-1)2 => n=50 , So, Sum = 50/2 (3+101) = 2600
20. Its a GP series with r = -1/3 , Sum = a/(1-r ) = 3/(1+1/3) = 4.5 ,.. Clearly it is convergent.
Cheers !! gud luck!

Más contenido relacionado

Más de amolmahale23

Fourier series question for a periodic signalSolutionFourier s.pdf
Fourier series question for a periodic signalSolutionFourier s.pdfFourier series question for a periodic signalSolutionFourier s.pdf
Fourier series question for a periodic signalSolutionFourier s.pdf
amolmahale23
 
ForecastingDiscuss the different types of forecasts to include tim.pdf
ForecastingDiscuss the different types of forecasts to include tim.pdfForecastingDiscuss the different types of forecasts to include tim.pdf
ForecastingDiscuss the different types of forecasts to include tim.pdf
amolmahale23
 

Más de amolmahale23 (18)

Four states were randomly selected, and their members in the U.S. Ho.pdf
Four states were randomly selected, and their members in the U.S. Ho.pdfFour states were randomly selected, and their members in the U.S. Ho.pdf
Four states were randomly selected, and their members in the U.S. Ho.pdf
 
Fred and Frank are two fitness fanatics on a run from A to B. Fred.pdf
Fred and Frank are two fitness fanatics on a run from A to B. Fred.pdfFred and Frank are two fitness fanatics on a run from A to B. Fred.pdf
Fred and Frank are two fitness fanatics on a run from A to B. Fred.pdf
 
Fred picked four numbers out of a hat. The average of the four numbe.pdf
Fred picked four numbers out of a hat. The average of the four numbe.pdfFred picked four numbers out of a hat. The average of the four numbe.pdf
Fred picked four numbers out of a hat. The average of the four numbe.pdf
 
fractionsHow can i find the value of N that makes each number sent.pdf
fractionsHow can i find the value of N that makes each number sent.pdffractionsHow can i find the value of N that makes each number sent.pdf
fractionsHow can i find the value of N that makes each number sent.pdf
 
Fractions and mixed numbers are often used in everyday life. Discuss.pdf
Fractions and mixed numbers are often used in everyday life. Discuss.pdfFractions and mixed numbers are often used in everyday life. Discuss.pdf
Fractions and mixed numbers are often used in everyday life. Discuss.pdf
 
Fourier series question for a periodic signalSolutionFourier s.pdf
Fourier series question for a periodic signalSolutionFourier s.pdfFourier series question for a periodic signalSolutionFourier s.pdf
Fourier series question for a periodic signalSolutionFourier s.pdf
 
Four married couples have bought 8 seats in a row for a concert. In .pdf
Four married couples have bought 8 seats in a row for a concert. In .pdfFour married couples have bought 8 seats in a row for a concert. In .pdf
Four married couples have bought 8 seats in a row for a concert. In .pdf
 
Four chairs are placed in a row; two of them are red and look identi.pdf
Four chairs are placed in a row; two of them are red and look identi.pdfFour chairs are placed in a row; two of them are red and look identi.pdf
Four chairs are placed in a row; two of them are red and look identi.pdf
 
Four upper level undergraduate students are available to serve on a .pdf
Four upper level undergraduate students are available to serve on a .pdfFour upper level undergraduate students are available to serve on a .pdf
Four upper level undergraduate students are available to serve on a .pdf
 
Four families have three daughters and no sons. Assuming boy and gir.pdf
Four families have three daughters and no sons. Assuming boy and gir.pdfFour families have three daughters and no sons. Assuming boy and gir.pdf
Four families have three daughters and no sons. Assuming boy and gir.pdf
 
Four boys and four girls attend a party. They sit along a straight .pdf
Four boys and four girls attend a party.  They sit along a straight .pdfFour boys and four girls attend a party.  They sit along a straight .pdf
Four boys and four girls attend a party. They sit along a straight .pdf
 
Formal definitions include all of the following exceptA. the term .pdf
Formal definitions include all of the following exceptA. the term .pdfFormal definitions include all of the following exceptA. the term .pdf
Formal definitions include all of the following exceptA. the term .pdf
 
Formally define a public goods game with incomplete information with.pdf
Formally define a public goods game with incomplete information with.pdfFormally define a public goods game with incomplete information with.pdf
Formally define a public goods game with incomplete information with.pdf
 
four friends 2 men named john (J) and donald (D) and two women mary .pdf
four friends 2 men named john (J) and donald (D) and two women mary .pdffour friends 2 men named john (J) and donald (D) and two women mary .pdf
four friends 2 men named john (J) and donald (D) and two women mary .pdf
 
Four distinct circles are drawn in a plane.  What is the maximum num.pdf
Four distinct circles are drawn in a plane.  What is the maximum num.pdfFour distinct circles are drawn in a plane.  What is the maximum num.pdf
Four distinct circles are drawn in a plane.  What is the maximum num.pdf
 
Four equally qualified runners, John, Bill, Ed, and Dave, run a 10.pdf
Four equally qualified runners, John, Bill, Ed, and Dave, run a 10.pdfFour equally qualified runners, John, Bill, Ed, and Dave, run a 10.pdf
Four equally qualified runners, John, Bill, Ed, and Dave, run a 10.pdf
 
ForecastingDiscuss the different types of forecasts to include tim.pdf
ForecastingDiscuss the different types of forecasts to include tim.pdfForecastingDiscuss the different types of forecasts to include tim.pdf
ForecastingDiscuss the different types of forecasts to include tim.pdf
 
Foundamental Rule of Counting, Combinations, Permutations A cert.pdf
Foundamental Rule of Counting, Combinations, Permutations A cert.pdfFoundamental Rule of Counting, Combinations, Permutations A cert.pdf
Foundamental Rule of Counting, Combinations, Permutations A cert.pdf
 

Último

Making and Justifying Mathematical Decisions.pdf
Making and Justifying Mathematical Decisions.pdfMaking and Justifying Mathematical Decisions.pdf
Making and Justifying Mathematical Decisions.pdf
Chris Hunter
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
QucHHunhnh
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
kauryashika82
 

Último (20)

Making and Justifying Mathematical Decisions.pdf
Making and Justifying Mathematical Decisions.pdfMaking and Justifying Mathematical Decisions.pdf
Making and Justifying Mathematical Decisions.pdf
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in DelhiRussian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
Russian Escort Service in Delhi 11k Hotel Foreigner Russian Call Girls in Delhi
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
Sociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning ExhibitSociology 101 Demonstration of Learning Exhibit
Sociology 101 Demonstration of Learning Exhibit
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Measures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and ModeMeasures of Central Tendency: Mean, Median and Mode
Measures of Central Tendency: Mean, Median and Mode
 
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
Presentation by Andreas Schleicher Tackling the School Absenteeism Crisis 30 ...
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
PROCESS RECORDING FORMAT.docx
PROCESS      RECORDING        FORMAT.docxPROCESS      RECORDING        FORMAT.docx
PROCESS RECORDING FORMAT.docx
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
Web & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdfWeb & Social Media Analytics Previous Year Question Paper.pdf
Web & Social Media Analytics Previous Year Question Paper.pdf
 
Unit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptxUnit-IV; Professional Sales Representative (PSR).pptx
Unit-IV; Professional Sales Representative (PSR).pptx
 
ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701ComPTIA Overview | Comptia Security+ Book SY0-701
ComPTIA Overview | Comptia Security+ Book SY0-701
 
Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptx
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
Asian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptxAsian American Pacific Islander Month DDSD 2024.pptx
Asian American Pacific Islander Month DDSD 2024.pptx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 

FormulasSolutionHere are the answers 1. d = 7-2 = 5 .pdf

  • 1. Formulas: Solution Here are the answers: 1. d = 7-2 = 5 2. a31 = -3+4(30) = 117 3. r = -1/2 4. a12 = 12(12-6) = 72 5. a4 = 1000(1/1000) = 1 6. since r =-3, so next term = 54 7. ar^6/a = r^6 = 11.4 => 0.2 8. -15 9. a(1/3)^4 = 1/108 => a = 3/4 10. r = -18/12 = -1.5 11. {Sum(n = 0to 4) }3*(4)^n 12. {Sum(n = 1to 6) }{7+(n-1)5) 13. S9 = 9/2 {2*4+8*8} = 324 14. S8 = 3(2^8-1)/1 = 765 15. S5 = 4(5)(5+1)/2 -3*5 = 45 { Using Sn = n(n+1)/2 for 1st n natural numberS)
  • 2. 16 S5 = 5(1*(3^5-1)/2= 605 17. S = 5*5 + 1/6(2+3+4+5+6) = 25+20/6 = 28.3 18. a200 = 1+199*4 = 797 19. 101 = 3 + (n-1)2 => n=50 , So, Sum = 50/2 (3+101) = 2600 20. Its a GP series with r = -1/3 , Sum = a/(1-r ) = 3/(1+1/3) = 4.5 ,.. Clearly it is convergent. Cheers !! gud luck!