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

Dec 24, 2016

${a}_{8} = 5 \frac{1}{2}$

#### Explanation:

In a arithmetic sequence, whose first term is ${a}_{1}$, common difference is $d$ and ${a}_{n}$ is the ${n}^{t h}$ term

${a}_{n} = {a}_{1} + \left(n - 1\right) \times d$

As in given case ${a}_{1} = 2$, $d = \frac{1}{2}$ and $n = 8$

${a}_{8} = 2 + \left(8 - 1\right) \times \frac{1}{2} = 2 + 7 \times \frac{1}{2} = 2 + \frac{7}{2} = 2 + 3 \frac{1}{2} = 5 \frac{1}{2}$