Q. 124.3( 25 Votes )

If 7 times the 7t A. 7

B. 11

C. 18

D. 0

Answer :

Let a and d be first term and common difference respectively


According to the question,

7 times the 7th term of an AP is equal to 11 times its 11th term

⇒ 7a7 = 11a11


As we know, nth term of an AP is

an = a + (n - 1)d

where a = first term

an is nth term

d is the common difference

we have,

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

⇒ 7a + 42d = 11a + 110d

⇒ 4a + 68d = 0

⇒ a + 17d = 0

⇒ a18 = 0

18th term of AP is 0

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