Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the 15th term of this arithmetic sequence. 2, 10, 18, 26, 34, ... …

Question

find the 15th term of this arithmetic sequence. 2, 10, 18, 26, 34, ... a_{15} = ? hint: a_n = a_1 + (n - 1)d

Explanation:

Step1: Identify known values

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

Step2: Substitute into arithmetic formula

$a_{15}=2 + (15-1)\times8$

Step3: Simplify the expression

$a_{15}=2 + 14\times8=2+112$

Answer:

114