Q32. - Algebra 2

Question

Find the indicated term of each arithmetic sequence.

$a_1=-4, d=-9, n=20$

Step-by-Step Solution

Answer

The indicated term of the arithmetic sequence is -175.

Step 1. Given Information.

Given indicated term of arithmetic sequence is  $a_1=-4,d=-9,n=20$

Step 2. Calculation .

The n^th term of an arithmetic sequence is given by $a_n=a_1+(n-1)d$ .

 

Here the first term is $a_1=-4$ 

The common difference is  $d=-9$

And the required term is  $n=20$

 Plugging the values in the formula:

$\begin{array}{l}{a}_n=a_1+(n-1)d\\ a_{20}=-4+(20-1)(-9)\\ a_{20}=-4+\left(19\right)(-9)\\ a_{20}=-4-171\\ a_{20}=-175\end{array}$

Step 3. Conclusion .

Hence, the indicated term of the arithmetic sequence is -175.