Sequences and Series
1) Which term of the A.P. 3, 8, 13 … is 78?
- 12
- 15
- 14
- 16
2) Is 150 a term of the series 11, 8, 5, 2, … ?
- 6th term
- 5th term
- Not a term
- 10th term
3) Find the 31st term of an A.P whose 11th term is 38 and the 16th term is 73.
- 176
- 179
- 177
- 178
4) Which term of the A.P 3, 15, 27, 39 … will be 132 more than its 54th term?
- 65
- 56
- 54
- 64
5) Find 10th term in the series 1, 3, 5, 7,.....
- 15
- 19
- 17
- 16
6) Find 16th term in the series 7, 13, 19, 25,....
- 100
- 99
- 98
- 97
7) Sum the first 20 terms of the sequence: 1, 3, 5, 7, 9,. ..
- 402
- 400
- 401
- 499
8) The taxi fare after each km when the fare is Rs. 15 for the first km and Rs. 8 for each additional km. This statement is
- G.P
- Not an G.P
- A.P
- Not an A.P
9) The cost of dogging a well after every meter of digging, when it costs Rs. 150 for the first meter rises by Rs. 50 for each subsequent meter. This statement is
- G.P
- Not an A.P
- A.P
- Not an G.P
10) The amount of money in the account every year when Rs. 10000 is deposited at compound interest at 8% per annum
- Not an G.P
- Not an A.P
- A.P
- G.P
11) Write fourth term of AP, when the first term a and the common difference d are given as follows: a = 10, d = 10
- 40
- 20
- 80
- 70
12) Write third term of A.P, when the first term 'a' and the common difference 'd' are given as follows: a = -2, d = 0
- -2
- 0
- 1
- 2
13) Write fourth term of A.P, when the first term 'a' and the common difference 'd' are given as follows: a = 4, d = -3
- 6
- 3
- 4
- -5
14) Find the third term of A.P, when the first term 'a' and the common difference 'd' are given as follows : a = -1.25, d = -0.25
- 1.75
- -0.75
- -2.75
- -1.75
15) For the following A.Ps, find the first term and common difference, 3, 1, -1, -3, …….
- -2
- 3
- 7
- 6
16) For the following A.Ps, find the First term and common difference –5, -1, 3, 7……
- -5, -4
- -5, 4
- 5, -4
- 5, 4
17) For the following A.Ps, find the first term and Common difference 0.6, 1.7, 2.8, 3.9 ,.....
- 0.6 , 1.1
- 0.6 , -1.1
- -0.6 , 1.1
- -0.6, -1.1
18) For the following APs, find the sixth term of 0, - 4, - 8, - 12,. ..
- -9
- 20
- 9
- -20
19) The series – ½, - ½, - ½, - ½, ……….. is
- A.P
- G.P
- Not an G.P
- Not an A.P
20) The series 1, 3, 9, 27, ……… is
- Not an G.P
- Not an A.P
- G.P
- A.P
21) The series a, a², a³, a⁴, ……….is
- Not an G.P
- A.P
- G.P
- Not an A.P
22) The series √2, √8, √18, √32 ……… is
- Not an A.P
- A.P
- G.P
- Not an G.P
23) The series √3, √6, √9, √12, ……… is
- Not an G.P
- G.P
- A.P
- Not an A.P
24) The series 1², 3², 5², 7², …………
- G.P
- A.P
- Not an G.P
- Not an A.P
25) If a = 7, d = 3 and n = 8, then an = ?
- 20
- 26
- 24
- 28
26) If a = -18, n = 10, an = 0, then d = ?
- 0
- 1
- 4
- 2
27) If d = -3, n = 18, an = -5, then a = ?
- 46
- 43
- 45
- 44
28) If a = -18.9, d = 2.5, an = 3.6, then n = ?
- 10
- 15
- 19
- 16
29) If a = 3.5, d = 0, n = 105, an = ?
- 3.5
- 5.5
- 2.5
- 8.5
30) Find 30th term of the A.P : 10, 7, 4, ……….
- -77
- -66
- 66
- 77