Question

find the 25th term of this arithmetic sequence.
2, 10, 18, 26, 34, ...
a_{25} = ?
hint: a_n = a_1 + (n - 1)d

Explanation:

Step1: Identify known values

$a_1=2$, $n=25$, $d=10-2=8$

Step2: Substitute into formula

$a_{25}=2 + (25-1)\times8$

Step3: Simplify the expression

$a_{25}=2 + 24\times8=2+192$

Answer:

194