Question

Find the indicated term of each arithmetic sequence.

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

Short answer

The indicated term of the arithmetic sequence is335.

Step-by-step solution

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.