Question

If 8 times the 8th term is equal to 11 times the 11th term then which term of an AP is 0

Answer 1

Answer:

The 19th term of the AP is 0.

Step-by-step explanation:

$8a_{8} = 11a_{11}$

$8(a+7d) = 11(a+10d)\\8a + 56d = 11a + 110d\\11a - 8a = 56d - 110d\\3a = -54d\\a = -18d$

Let $a_{n}$ = 0

a + (n-1)d = 0

-18d + (n - 1)d = 0

d(-18 + n - 1) = 0

n - 19 = 0

n = 19

Therefore, the 19th term of the AP is 0.

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