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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 11times the 11th term,then find the 18th term?

Posted by Harshdeep Singh 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 4 months ago

Let 1st term of AP be 'a',

Let the common difference be 'd',

So,as per question, 7 x 7th term = 11 x 11th term

or, 7 [a+6d] = 11 [a+10d]

or, 7a+42d = 11a +110d

or, 4a + 68d = 0

or, a + 17d = 0 .......(1)

Now, 18th term = a+17d

or, t18 = 0 (from 1)

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