Question

How do you find the indicated term of the arithmetic sequence `a_1=2` d=1/2, n=8?

Answer 1

`a_8=5 1/2`

Explanation:

In a arithmetic sequence, whose first term is `a_1`, common difference is `d` and `a_n` is the `n^(th)` term

`a_n=a_1+(n-1)xxd`

As in given case `a_1=2`, `d=1/2` and `n=8`

`a_8=2+(8-1)xx1/2=2+7xx1/2=2+7/2=2+3 1/2=5 1/2`