Question # 1

The common ration of a geometric sequence cannot be

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0

1

2

3

Three consecutive terms of a progression are 30, 24, 20. The next terms of the progression is

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1

2

3/2

5/2

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

A sequence of number whose reciprocals form an arithmetic sequence is called

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

The element range of sequence are called

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Series

progression

Members

Terms

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

The 10th common term between the series 3+7+11+....... and 1 + 6 +11 + ....... is

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191

193

211

None of these

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For three consecutive terms in A.P middle term is called

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A.M

nth term

Central term

None of these

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1/2

2

1/4

4

Find the geometric mean between 4 and 16

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An A.P. consists of n(odd terms) and its middle term is m. then the sum of the A.P. is

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2 mn

1/2 mn

mn

mn²

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12

13

14

15

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

The next term of the sequence 1, 2, 4, 7, 11, ..... is.

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15

16

17

18

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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

A number H is said to be the H.M. between a and b if a, H, b are in

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A.P.

G. P.

H. P.

None of these

If p, q, r and in A.P., a is G.M. between p and q and b is G.M. between q and r, then a², q², b²are in

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A.P.

G.P.

H.P.

None of these

The third term of the sequence a_n= (-1)^n-1(n-7) is ______

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8

4

-4

8

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

If #n = (n-5)2 + 5, then find #3 x #4.

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54

12

4

9

If a, b, c are in AP., a, b, c are in G.P. then A, m²b, c are in

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A.P.

G.P.

H.P.

None of these

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

5th term of a G.P. is 2, then the product of first 9 terms is

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256

128

512

None of these

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0

1

2

3

The sum of an indicated number of terms in a sequence is called

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sequence

progression

Series

Mean

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

If 6th term of a series in A.P, is -2 and 8th term is -8, the first term of the serie is

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13

-13

18

-10

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

A number A is said to be the A.M between the two numbers a and b if a, A, b are in

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A.M

A.P

G.P

G.M

The 31 term of the A.P 5,2,-1.....is

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-82

82

85

-85

Sum of n terms of a geometric series if | r | < 1 is

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Every term of a G.P. is positive and also every term is the sum of two preceding terms. Then the common ratio of the G.P. is

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An indicated sum of terms of a sequence is represented by

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Sn

an

S(n)

{Sn}

Which one represents a sequence

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an

Sn

a(n)

{an}