Practice MCQ Questions and Answer on Progressions
1.
If the first term of an A.P. is a and nth term is b, then its common difference is
- (A) $$\frac{{b - a}}{{n + 1}}$$
- (B) $$\frac{{b - a}}{{n - 1}}$$
- (C) $$\frac{{b - a}}{n}$$
- (D) $$\frac{{b + a}}{{n - 1}}$$
2.
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
3.
For A.P. T18 - T8 = ........ ?
- (A) d
- (B) 10d
- (C) 26d
- (D) 2d
4.
The nth term of an A.P., the sum of whose n terms is Sn, is
- (A) Sn + Sn - 1
- (B) Sn - Sn - 1
- (C) Sn + Sn + 1
- (D) Sn - Sn + 1
5.
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
6.
If in an A.P., Sn = n2p and Sm = m2p, where S denotes the sum of r terms of the A.P., then Sp is equal to
- (A) $$\frac{1}{2}{p^3}$$
- (B) mnp
- (C) p3
- (D) (m + n)p2
7.
What is the sum of the first 9 terms of an arithmetic progression if the first term is 7 and last term is 55?
- (A) 219
- (B) 279
- (C) 231
- (D) 137
8.
If the sums of n terms of two arithmetic progressions are in the ration $$\frac{{3n + 5}}{{5n + 7}},$$ ÃÂÃÂ then their nth terms are in the ration
- (A) $$\frac{{3n - 1}}{{5n - 1}}$$
- (B) $$\frac{{3n + 1}}{{5n + 1}}$$
- (C) $$\frac{{5n + 1}}{{3n + 1}}$$
- (D) $$\frac{{5n - 1}}{{3n - 1}}$$
9.
The 4th and 7th term of an arithmetic progression are 11 and -4 respectively. What is the 15th term?
- (A) -49
- (B) -44
- (C) -39
- (D) -34
10.
The first three terms of an A.P. respectively are 3y ÃÂÃÂÃÂâÃÂÃÂÃÂà1, 3y + 5 and 5y + 1. Then, y equals
- (A) -3
- (B) 4
- (C) 5
- (D) 2