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Question

Which term of the AP:22,19,16....... is its first negative term?

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Solution

We have,

a=22

d=3

Given that,

The first negative term is

an<0

So,

an=a+(n1)d

a+(n1)d<0

22+(n1)(3)<0

223n+3<0

253n<0

25<3n

253<n

n>8.33

So, the natural number is 9.

Therefore, 9thterm is the first negative term of the given A.P.

This is the answer.

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