# How do you find the five terms of the arithmetic sequence a_1=5 and d=3?

Nov 1, 2016

$5 , 8 , 11 , 14 , 17$

#### Explanation:

Given ${a}_{1} = 5$ and a common difference of $d = 3$ between successive terms of an arithmetic sequence:

${a}_{1} = 5$
${a}_{2} = {a}_{1} + 3 = 8$
${a}_{3} = {a}_{2} + 3 = 11$
${a}_{4} = {a}_{3} + 3 = 14$
${a}_{5} = {a}_{4} + 3 = 17$