Question # 1

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A.P.

G.P.

H.P.

None of these

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12

13

14

15

What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

If a, b, c, d, e, f are in A.P.,then e-c is equal to

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2(c - a)

2(f - d)

2(d - c)

d - c

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

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Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

A,G,H are in

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A.P

G.P

H.P

None of these

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

Write the first four terms of the sequence if a_n= (-1)ⁿn²

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-1, 4, -9, 16

1, -4, 9, 16

1, 4, 9, 16

None of these

H.M. between 3 and 7 is

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The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

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2

-3/2

1

0

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

If the pth, qth, and rth terms of an A.P. are in G.P:., then the common ratio of the G.P. is

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Find the next two terms of 7, 9, 12, 16,...

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18, 20

19, 22

20, 25

21, 27

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

1 + 2 + 3 + ...... + n = ______

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The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

The seventh term of an A.P whose first term is P and common difference is q. is

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P-6q

P+6q

P-4q

P-nq

How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

The difference of two consecutive terms of an A.P is called the

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Common difference

Common ratio

Geometric series

Geometric mean

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

If a_n= 2n -3, write the first four terms

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-3, -1, 1, 3

1, 3, 5, 7

-1, 1, 3, 5

None of these

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ECAT Mathematics Chapter 8 Sequences and Series Online Test MCQs With Answers

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