Question

Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.

Short answer

241

Step-by-step solution

Step 1. Consider the given information.

The first term is 7 and the common difference is 9.

Step 2. Formula used.

Write the formula of an arithmetic sequence.

$a_n=a_1+\left(n-1\right)d$

Where a₁ is the first term and dis a common difference.

Step 3. Find the twenty-seventh term.

Substitute 7 for the first term, 9 for d, and 27 for nabove formula.

$\begin{array}{rcl}{a}_{27}& =& 7+\left(27-1\right)9\\ & =& 7+234\\ & =& 241\end{array}$