Practice MCQ Questions and Answer on Progressions
71.
If the 3rd and the 5th term of an arithmetic progression are 13 and 21, what is the 13th term?
- (A) 53
- (B) 49
- (C) 57
- (D) 61
72.
If a + 1, 2a + 1, 4a - 1 are in A.P., then the value of a is:
- (A) 1
- (B) 2
- (C) 3
- (D) 4
73.
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
74.
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
75.
Sum of n terms of the series $$\sqrt 2 $$ÃÂÃÂ $$ + $$ÃÂÃÂ $$\sqrt 8 $$ÃÂÃÂ $$ + $$ÃÂÃÂ $$\sqrt {18} $$ÃÂÃÂ $$ + $$ÃÂÃÂ $$\sqrt {32} $$ÃÂÃÂ $$ + $$ÃÂÃÂ ....... is
- (A) $$\frac{{n\left( {n + 1} \right)}}{2}$$
- (B) $$2n\left( {n + 1} \right)$$
- (C) $$\frac{{n\left( {n + 1} \right)}}{{\sqrt 2 }}$$
- (D) $$1$$
76.
(1) + (1 + 1) + (1 + 1 + 1) + ....... + (1 + 1 + 1 + ...... n - 1 times) = ......
- (A) $$\frac{{n\left( {n + 1} \right)}}{2}$$
- (B) $$\frac{{n\left( {n - 1} \right)}}{2}$$
- (C) $${n^2}$$
- (D) $$n$$
77.
The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be
- (A) 5
- (B) 6
- (C) 7
- (D) 8
78.
What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 3?
- (A) 897
- (B) 1,64,850
- (C) 1,64,749
- (D) 1,49,700
79.
The common difference of an A.P., the sum of whose n terms is Sn, is
- (A) Sn - 2Sn - 1 + Sn - 2
- (B) Sn - 2Sn - 1 - Sn - 2
- (C) Sn - Sn - 2
- (D) Sn - Sn - 1
80.
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) $$\frac{{b + a}}{{n - 1}}$$