Question

If for an A.P., S8=16 and S16=8 find the first negative term

Answer 1

Hello

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a+7d=16, a+15d=8

8d=-8, d=-1 ,a=23

For first negative no

a+(n-1)d<0

23-(n-1)<0

n>24

So first negative will be when n=25.

A(25)=23+(25–1)(-1)=-1
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