# How do you find the first five terms of each sequence a_1=-3, a_(n+1)=a_n+n?

Feb 1, 2017

First five terms are $\left\{- 3 , - 2 , 0 , 3 , 7\right\}$

#### Explanation:

Às ${a}_{1} = - 3$ and ${a}_{n + 1} = {a}_{n} + n$

therefore ${a}_{2} = {a}_{1} + 1 = - 3 + 1 = - 2$

${a}_{3} = {a}_{2} + 2 = - 2 + 2 = 0$

${a}_{4} = {a}_{3} + 3 = 0 + 3 = 3$

${a}_{5} = {a}_{4} + 4 = 3 + 4 = 7$

Hence, first five terms are $\left\{- 3 , - 2 , 0 , 3 , 7\right\}$