Question

find the 15th term of this arithmetic sequence: 2, 10, 18, 26, 34, ... ; a_{15} = ?

Explanation:

Step1: Identify known values

$a_1=2$, $d=10-2=8$, $n=15$

Step2: Use arithmetic sequence formula

The formula for the $n$-th term of an arithmetic sequence is $a_n = a_1 + (n-1)d$.
Substitute values: $a_{15} = 2 + (15-1)\times8$

Step3: Calculate the result

First compute $(15-1)=14$, then $14\times8=112$, finally $2+112=114$.

Answer:

114