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If 7 times the $7 t h$ term of an AP is equal to 11 times its 11th term, then its $18 t h$ term will be

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answer is B.

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Detailed Solution

Given, 7 times the

7 t h

term of an AP is equal to 11 times its 11th term.
The equation for

7 t h

term and 11th of an AP is

a + 6 d

and

a + 10 d

7 a + 6 d = 11 a + 10 d 7 a + 42 d = 11 a + 110 d 4 a + 68 d = 0 4 a + 17 d = 0

In the equation

4 a + 17 d = 0

, the expression

a + 17 d

corresponds to the

18 t h

term.
So, the value of the

18 t h

term = 0.
Therefore, the correct option is 2.

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