Practice MCQ Questions and Answer on Progressions

41.

The 2nd and 6th term of an arithmetic progression are 8 and 20 respectively. What is the 20th term?

  • (A) 56
  • (B) 65
  • (C) 59
  • (D) 62

42.

In an AP, Sp = q, Sq = p and S denotes the sum of first r terms. Then, Sp+q is equal to

  • (A) 0
  • (B) – (p + q)
  • (C) p + q
  • (D) pq

43.

The 3rd and 6th term of an arithmetic progression are 13 and -5 respectively. What is the 11th term?

  • (A) -29
  • (B) -41
  • (C) -47
  • (D) -35

44.

A boy agrees to work at the rate of one rupee on the first day, two rupees on the second day, and four rupees on third day and so on. How much will the boy get if he started working on the 1st of February and finishes on the 20th of February?

  • (A) 220
  • (B) 220 -1
  • (C) 219 -1
  • (D) 219

45.

What is the sum of the first 13 terms of an arithmetic progression if the first term is -10 and last term is 26?

  • (A) 104
  • (B) 140
  • (C) 84
  • (D) 98

46.

If S denotes the sum of the first r terms of an A.P. Then, S : (S – S) isn3n2nn

  • (A) n
  • (B) 3n
  • (C) 3
  • (D) None of these

47.

In an A.P., if d = -4, n = 7, an = 4, then a is

  • (A) 6
  • (B) 7
  • (C) 20
  • (D) 28

48.

If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?

  • (A) 36
  • (B) 18
  • (C) 54
  • (D) 24

49.

Which term of the A.P. 24, 21, 18, ............ is the first negative term?

  • (A) 8th
  • (B) 9th
  • (C) 10th
  • (D) 12th

50.

A bacteria gives birth to two new bacteria in each second and the life span of each bacteria is 5 seconds. The process of the reproduction is continuous until the death of the bacteria. initially there is one newly born bacteria at time t = 0, the find the total number of live bacteria just after 10 seconds :

  • (A) $$\frac{{{3^{10}}}}{2}$$
  • (B) 310 - 210
  • (C) 243 × (35 -1)
  • (D) 310 - 25