CBSE Class 11 Mathematics Sequences and Series Assignment Set A

Multiple Choice Questions

Question. If a, b, c are in arithmetic progression, then the value of (a + 2b − c ) (2b + c − a) (a + 2b + c ) is
(a) 16abc
(b) 4abc
(c) 8abc
(d) 3abc
Answer : A

Question. 8th term from the end of the sequence 3, 6, 12, …… 25th term is
(a) 393216
(b) 393206
(c) 313216
(d) 303216
Answer : A

Question. In a GP, the 3rd term is 24 and the 6th term is 192. Then, the 10th term is
(a) 1084
(b) 3290
(c) 3072
(d) 2340
Answer : C

Question. If t n denotes the nth term of the series 2 + 3 + 6 + 11 + 18 + ..., then t₅₀ is
(a) 49² - 1
(b) 49²
(c) 50² + 1
(d) 49² + 2
Answer : D

Question. 5120 is which term of the GP 5, 10, 20, 40 ……
(a) 11th
(b) 10th
(c) 6th
(d) 5th
Answer : A

Question. The nth term of a GP 5, 25, 125, ..... is
(a) 5ⁿ
(b) 5^{n − 1}
(c) 5^{n + 1}
(d) 5^{n −2}
Answer : A

Question. The geometric mean of 2 and 8 is
(a) 4
(b) 6
(c) 7
(d) 5
Answer : A

Question. Sum of the sequence 1/2, 3/2, 9/2 , , …… upto 10 terms is equal to
(a) 14762
(b) 14726
(c) 41762
(d) 12476
Answer : A

Question. 4 gemoteric means between 3 and 96 are
(a) 6, 12, 24, 48
(b) 6, 10, 24, 48
(c) 6, 10, 40, 48
(d) 48, 24, 10, 5
Answer : A

Question. 6th term from the end of the sequence 9, 12, 15 ……… 20th term is
(a) 50
(b) 52
(c) 51
(d) 55
Answer : C

Question. 40 is which term of the sequence 72, 70, 68 …… .
(a) 18th
(b) 17th
(c) 15th
(d) 10th
Answer : B

Question. The minimum value of 4^x + 4^{1 − x} , x ∈ R is
(a) 2
(b) 4
(c) 1
(d) 0
Answer : B

Case Based MCQs

A sequence of non-zero numbers is said to be a geometric progression, if the ratio of each term, except the first one, by its preceding term is always constant. Rahul being a plant lover decides to open a nursery and he bought few plants with pots. He wants to place pots in such a way that number of pots in first row is 2, in second row is 4 and in third row is 8 and so on… .

Based on the above information, answer the following questions.

Question. The constant multiple by which the number of pots is increasing in every row is
(a) 2
(b) 4
(c) 8
(d) 1
Answer : A

Question. The number of pots in 8th row is
(a) 156
(b) 256
(c) 300
(d) 456
Answer : B

Question. The difference in number of pots placed in 7th row and 5th row is
(a) 86
(b) 50
(c) 90
(d) 96
Answer : D

Question. Total number of pots upto 10th row is
(a) 1046
(b) 2046
(c) 1023
(d) 1024
Answer : B

Question. If Rahul wants to place 510 pots in total, then the total number of rows formed in this arrangement is
(a) 7
(b) 8
(c) 9
(d) 5
Answer : B

Please click the below link to access CBSE Class 11 Mathematics Sequences and Series Assignment Set A