Find the First Term a_n=-1/2-3/2n

$a_{n} = - \frac{1}{2} - \frac{3}{2} n$

Step 1

Substitute in the value of $n$ to find the $n$ th term.

$a_{1} = - \frac{1}{2} - \frac{3}{2} \cdot 1$

Step 2

Multiply $- 1$ by $1$ .

$a_{1} = - \frac{1}{2} - \frac{3}{2}$

Step 3

Combine the numerators over the common denominator.

$a_{1} = \frac{- 1 - 3}{2}$

Step 4

Simplify the expression.

Subtract $3$ from $- 1$ .

$a_{1} = \frac{- 4}{2}$

Divide $- 4$ by $2$ .

$a_{1} = - 2$