Q. 33 - Algebra 2

Question

Find the indicated term of each arithmetic sequence.

$a_1=35,d=3,n=101$

Step-by-Step Solution

Answer

The indicated term of the arithmetic sequence is 335.

Step 1. Given Information.

Given indicated term of arithmetic sequence is  $a_1=35,d=3,n=101$

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  $a_1=35$

The common difference is  $d=3$

And the required term is  $n=101$

 Plugging the values in the formula:

$\begin{array}{l}{a}_n=a_1+(n-1)d\\ a_{101}=35+(101-1)\left(3\right)\\ a_{101}=35+\left(100\right)\left(3\right)\\ a_{101}=35+300\\ a_{101}=335\end{array}$

Step 3. Conclusion .

Hence, the indicated term of the arithmetic sequence is 335.