Math, asked by sharansai42, 9 months ago

if the sum of first 3 terms of an ap is equal to the sum first 8 terms than show that 6th term is 0

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Answers

Answered by Anonymous

Step-by-step explanation:

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and

Let, the first term and common difference of the respective AP be

Again, let,

Sum of the first

-terms of the AP

=Sm

Sum of the first

-terms of the AP

=Sn

& Sum of the first

(m+n)

-terms of the AP

=Sm+n.

According to the question,

Sm=Sn

⟹m2{2a+(m−1)d}=n2{2a+(n−1)d}

⟹2am+(m2−m)d=2an+(n2−n)d

⟹2a(m−n)+{(m2−n2)−(m−n)}d=0

⟹(m−n){2a+(m+n−1)d}=0

⟹2a+(m+n−1)d=0...(⋆)

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Answered by Anonymous

hope it helps u

pleasure to help you

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