Question # 1

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

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

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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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

Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

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

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8

4

-4

8

If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

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A. P.

G. P.

H. P.

None of these

Which term of the A.P 5,8,11,24.............is 320

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104th

106th

105th

64th

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

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

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Geometric sequence

Arithmetic series

Harmonic sequence

Harmonic series

Arithmetic mean between a and b is

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Which one represents a sequence

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an

Sn

a(n)

{an}

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

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Harmonic sequence

Arithmetic sequence

Geometric 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

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

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3

-4

7

1

If a₁= a₂= 2, a_n= a_n-1- 1 (n > 2), then a₅is

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1

0

-1

-2

3, 6, 12,.... is

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A.P

G.P.

H.P.

None of these

If a₁, r are first term and the common ratio respectively then the sum of an infinite geometric series is

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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

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

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1

2

3/2

5/2

A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

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

H.M. between 3 and 7 is

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an - an-1 will be common difference in an A.P if

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n = 1∀n∈ N

n>1∧n∈N

n∈Z

None of the above

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 n terms of a series is denoted by

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d

n

S_n

a_n

The sum of indicated terms of a sequence is called

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Arithmetic series

Series

Harmonic series

None of these

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

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