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.