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Question

How many terms of the A.P. 27, 24, 21, ... are required to get the sum as 0?


A

19

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B

17

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C

27

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D

24

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Solution

The correct option is A

19


Given that the A.P. is 27, 24, 21 …
a=27;d=2427=3

Sn=n2(2a+(n1)d)

Since the sum is 0

n2[2×27+(n1)(3)]=0

n(543n+3)=0

n(573n)=0

n=0 or 573n=0

n=0 or n=19

Since the number of terms cannot be equal to 0, we have n=19.


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