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

Answer:

7.5d

Step-by-step 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 = $\frac{1}{2}$ d, thus

$a_{8}$ = $\frac{1}{2}$ d + 7d = 7 $\frac{1}{2}$ d = 7.5d