Question

87th term of 12,0,-12

Answer 1

Answer:

$a_{87} = -1020$

Step-by-step explanation:

Given:

The given AP is.

12,0,-12,......

$n=87$

The first term of an AP $a=12$

Common difference $d=0-12=-12$

We use the the formula for nth term of an AP.

$a_{n} = a+(n-1)d$

for 87th term

$a_{87} = 12+(87-1)(-12)$

$a_{87} = 12+(86)(-12)$

$a_{87} = 12+(-1032)$

$a_{87} = 12-1032$

$a_{87} = -1020$

Therefore, The 87th term of given series is -1020.