Question # 1

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 arithmetic progression, then 1/a,1/b.1/c are in

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A.M

G.M

H.M

G.P

No term of a harmonic sequence can be

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0

1

2

3

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If a₁= 3, r = 2, then the nth term of the G.P. is

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2.3^n-1

3.2ⁿ

3.2ⁿ⁺¹

3.2^n-1

If a, b, c are in A.P., then 3^a, 3^b, 3^care 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

Let the sequence 1, 2, 2, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, ..... where n consecutive terms have the value n, then 1025th term is

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2⁹

2¹⁰

2¹¹

2⁸

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A Geometric Series is divergent only if

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|r|>1

|r|≥1

|r|=1

None of these

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

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15

16

17

18

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

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

99th term of the series 2 + 7 + 14 + 23 + 34 + ..... is

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9998

9999

10000

None of these

The numbers of G₁, G₂, G₃...... G_nare called n geometric means between a and b is a, G₁, G_2,G₃, ... G_n, b are in

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H.P.

A.P.

G.P.

None of these

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

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

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Identity function

Sequence

Onto function

Series

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

A sequence is a functions whose domain is a subset of the set of

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Natural numbers

Real numbers

Whole numbers

Rational numbers

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12

13

14

15

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

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

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18, 20

19, 22

20, 25

21, 27

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

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

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

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1500

72

2160

2520

If a₁and r are the first term and the common ratio respectively then (n + 1)th term of the G.P. is

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0

a₁r^n-1

a₁rⁿ⁺¹

a₁rⁿ

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

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

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sequence

progression

Series

Mean

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

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