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Progressions Q2
Qn: Arithmetic Progression
(a) 7 times the 13th term
(b) 0
(c) 13 times the 7th term
(d) 4 times the 4th term + 9 times th...
Soln: Arithmetic Progression
4t4 = 9t9, we need to find t13
4(a + 3d) = 9(a + 8d)
4a + 12d = 9a + 72d
 5a + 60d = 0
 a +...
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Progressions - Arithmetic Progression

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A simple arithmetic progression problem, where you are given the various constraints and you need to find a specific term of the progression

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Progressions - Arithmetic Progression

  1. 1. Progressions Q2
  2. 2. Qn: Arithmetic Progression (a) 7 times the 13th term (b) 0 (c) 13 times the 7th term (d) 4 times the 4th term + 9 times the 9th term If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?
  3. 3. Soln: Arithmetic Progression 4t4 = 9t9, we need to find t13 4(a + 3d) = 9(a + 8d) 4a + 12d = 9a + 72d  5a + 60d = 0  a + 12d = 0  t13 = 0  13 × t13 = 0 As a simple rule, if n × tn = m × tm, then tm+n = 0. See, if you can prove this. Answer choice (b) If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?

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