# How do you find the term n=11, given the arithmetic sequence a_1=5/2 and d=-3/2?

##### 1 Answer
Nov 3, 2016

${T}_{11} = - 12 \frac{1}{2}$

#### Explanation:

In an A.P., the general term is given by

${T}_{n} = {a}_{1} + \left(n - 1\right) d \text{ } \leftarrow$ substitute for ${a}_{1} , d \mathmr{and} n$

${T}_{11} = \frac{5}{2} + 10 \times \frac{- 3}{2}$

${T}_{11} = 2 \frac{1}{2} + \left(- 15\right)$

${T}_{11} = - 12 \frac{1}{2}$