The first term in an arithmetic sequence is 3, and the common difference is 5. Find the 10th term in the sequence.

Answer 1

The $n$th term of an arithmetic sequence with first term $a_1$ and common difference $d$ is \[a_n = a_1 + (n-1)d.\] For the given sequence, generate the term when $n=10$: \begin{align*}
a_{10} &= 3 + (10-1)(5) \\
&= 3 + 9(5) \\
&= 3+45 \\
&= \boxed{48}.
\end{align*}