Question # 1

No term of a harmonic sequence can be

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0

1

2

3

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

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

If Sn is a definite number as n → ∞,then the geometric series is

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Convergent

Divergent

Oscillatroy

None of these

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 harmonic mean between a and b is

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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

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The general term of a sequence is denoted by

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a₁

a_n

n

s_n

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

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-2, 1, 4, 7,.... is ______

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Harmonic sequence

Arithmetic sequence

Geometric sequence

Arithmetic series

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

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15/23

7/15

7/8

15/7

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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G is geometric mean between a and b if a, G, b is

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A.P.

G.P.

H.P.

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

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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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2²- n - 1

1 - 2^-n

n + 2^-n-1

2ⁿ- 1

A sequence whose reciprocal is an A.P is called

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Oscillator

H.P

G.P

None of these

The nth term of a G.P. is

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a₁rⁿ

a₁rⁿ⁺¹

a₁r^n-1

a₁r^-n

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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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 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

The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

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

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

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

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9998

9999

10000

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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