Question

If the first term of an AP is equal to one-half of the common difference, d, find the 8th term of the AP.

Answer 1

7.5d

Explanation:

The n th term of an arithmetic sequence is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ =
`(1)/(2)` d, thus

`a_(8)` =
`(1)/(2)` d + 7d = 7
`(1)/(2)` d = 7.5d