# What is the 24th term of the arithmetic series 10, 16, 22, … ?

Nov 8, 2015

The 24th term is ${a}_{24} = 148$

#### Explanation:

${a}_{1} = 10$

$d = 16 - 10 = 6$

${a}_{24} = {a}_{1} + 23 \cdot d$

${a}_{24} = 10 + 23 \cdot 6$

${a}_{24} = 148$