Question

If 7 times the 7th term of an A.P. is equal to 11 terms the 11th term , then find it's 14th term

Answer 1

Answer:

We can see that :

7×T 7=11×T 11

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

7a + 42d = 11a + 110d

7a − 11a = 110d − 42d

−4a = 68d

∴a = −17d

Consider,

T 18 =a+17d

=−17d+17d

= 0

∴T 18 = 0

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