# How do you write the first five terms of the sequence defined recursively a_1=15, a_(k+1)=a_k+3?

Feb 9, 2017

$15 , 18 , 21 , 24 , 27$

#### Explanation:

${a}_{1} = 15$
${a}_{k + 1} = {a}_{k} + 3$

${a}_{1} = 15$
${a}_{2} = {a}_{1} + 3 = 15 + 3 = 18$
${a}_{3} = {a}_{2} + 3 = 18 + 3 = 21$
${a}_{4} = {a}_{3} + 3 = 21 + 3 = 24$
${a}_{5} = {a}_{4} + 3 = 24 + 3 = 27$