Question

QuFind the term a23 for the arithmetic sequence with first term, ay = 5, and common difference, d = 7.a 23 =

Answer 1

The general expression for the nth term of sequence is,

$a_n=a+(n-1)d$

Substitute 23 for n, 5 for a and 7 for d in the expression to determine the 23th term of airthmetic sequance.

$\begin{gathered} a_{23}=5+(23-1)\cdot7 \\ =5+22\cdot7 \\ =5+154 \\ =159 \end{gathered}$

So 23rd term of sequance is 159.