Sequences and Series Test

Result

Sequences and Series Test - 51

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Weekly Quiz Competition

Question 1
4 / -1

The 11^th, 13^th and 15^th terms of any G.P. are in ______

A
G.P.

B
A.P.

C
H.P.

D
A.G.P.

Solution
Question 2
4 / -1

A
G. P.

B
A. P.

C
H. P.

D
A. G. P.

Solution
Question 3
4 / -1

If the sum of first 101 terms of an A. P. is 0 and If 1 be the first term of the A. P. then the sum of next 100 terms is ______

A
–101

B
201

C
–201

D
–200

Solution
Question 4
4 / -1

If A₁ and A₂ be the two A. M. s between two numbers 7 and 1/7 then (2 A₁ - A₂) (2 A₂ - A₁) = ______

A
49

B
48/7

C
50/7

D
1

Solution
Question 5
4 / -1

For an A. P...S₁₀₀ = 3 S₅₀ The value of S₁₅₀ : S₅₀ =_______

A
8

B
3

C
6

D
10

Solution
Question 6
4 / -1

If 1, A₁, A₂, A₃, .... A_n, 31 are in A. P. and A₇ : A_{n –1} = 5 : 9 then n =______

A
28

B
14

C
15

D
13

Solution
Question 7
4 / -1

In a G. P., the last term is 1024 and the common ratio is 2. Its 20 th term from the end is ______

A

B

C

D

Solution
Question 8
4 / -1

The sum of the numbers 1 + 2.2 + 3. 2² + 4. 2³ + ... + 50. 2⁴⁹ is ______

A
1 + 49. 2⁴⁹

B
1 + 49. 2⁵⁰

C
1 + 50. 2⁴⁹

D
1 + 50. 2⁵⁰

Solution
Question 9
4 / -1

First term of a G. P. of 2n terms is a, and the last term is l The product of all the terms of the G. P. is ______

A
(al)^n/2

B
(al)^n-1

C
(al)ⁿ

D
(al)²ⁿ

Solution
Question 10
4 / -1

The series 1. 1! + 2. 2! + 3. 3! + ... + n. n! = _______

A
(n + 1)! -n

B
(n + 1)! -1

C
n! -1 + n

D
n! +1 -n

Solution