Question

find the 44th term of this arithmetic sequence.
2, 7, 12, 17, 22, ...
a_{44} = ?
hint: $a_n = a_1 + (n - 1)d$

Explanation:

Step1: Identify known values

$a_1=2$, $n=44$, $d=7-2=5$

Step2: Substitute into arithmetic formula

$a_{44}=2 + (44-1)\times5$

Step3: Simplify the expression

$a_{44}=2 + 43\times5=2+215$

Answer:

217