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Engineering
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If the sum of the first ten terms of the series then m is equal to:

• Option 1)

102

• Option 2)

101

• Option 3)

100

• Option 4)

99

As we learnt in

Summation of series of natural numbers -

- wherein

Sum of  squares of first n natural numbers

Option 1)

102

Incorrect option

Option 2)

101

Correct option

Option 3)

100

Incorrect option

Option 4)

99

Incorrect option

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Engineering
199 Views   |

If the 2nd, 5th and 9th terms of a non-constant A.P. are in G.P., then the common ratio of this G.P. is :

• Option 1) • Option 2) • Option 3) • Option 4) As we learnt in

Common ratio of a GP (r) -

The ratio of two consecutive terms of a GP

- wherein

eg: in 2, 4, 8, 16, - - - - - - -

r = 2

and in 100, 10, 1, 1/10 - - - - - - -

r = 1/10

are in  G.P where   are Terms of an A.P

Let first term is a and common difference is d, and common ratio be r then

A = a+d

B = a+4d

C= a+8d

from (i) and (ii)

2a=16d

a=8d

Option 1) Incorrect option

Option 2) Correct option

Option 3) Incorrect option

Option 4) Incorrect option

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