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If 7 times the 7th term …

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If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be ……………………….. Your answer

Posted by Pranjal Jangid 5 years, 1 month ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years ago

let a = first term and d=common difference.

According to question,

7a₇ = 11 a₁₁

=>7(a+6d) = 11(a+10d)

=> 7a-11a = 110d-42d

=> -4a = 68d

=>a = -17d ......(1)

Now , a₁₈ = a +17d

but a = -17 d ..by (1)

so put this value , we get,

a₁₈=-17d +17d =0

Hence proved

0Thank You

ANSWER

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