# How do you find the fourth term in the following recursively defined sequence given a_1 = 4 and a_n = a_(n-1) + 2?

May 30, 2016

${a}_{4} = 10$.

#### Explanation:

It is enough to apply the sequence four times.

${a}_{1} = 4$
${a}_{2} = {a}_{1} + 2 = 6$
${a}_{3} = {a}_{2} + 2 = 8$
${a}_{4} = {a}_{3} + 2 = 10$.