Question # 1

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

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

The 6th term of the sequence 7,9,12,16......is

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27

32

20

19

If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

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

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54

12

4

9

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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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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

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

The sum of first twenty odd integers in A.P is

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400

397

404

408

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

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15

16

17

18

A sequence having no last term is called

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arithmetic sequence

Geometric sequence

Finite sequence

Infinite sequence

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

Geometric mean between a and b is

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p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

The sum of all 2 digit number is

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4750

3776

4895

4905

The third term of a G.P. is the square of first term. If the second term is 8, then the 6th term is

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120

124

128

132

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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 element range of sequence are called

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Series

progression

Members

Terms

If the domain of sequence is finite set then the sequence is called

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geometric sequence

infinite sequence

finite sequence

arithmetic sequence

The sixth term of the sequence 1,3,12,60....is

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1500

72

2160

2520

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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an A.P.

a G.P.

a H.P.

None of these

1,1/3,1/5,1/7,1/9..... is a

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geometric sequence

finite sequence

infinite sequence

arithmetic series

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

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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

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

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