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

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Answer 1 · 2017-02-01T05:57:02

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

Às $a_{1} = - 3$ $a_1=-3$ and $a_{n + 1} = a_{n} + n$ $a_(n+1)=a_n+n$

therefore $a_{2} = a_{1} + 1 = - 3 + 1 = - 2$ $a_2=a_1+1=-3+1=-2$

$a_{3} = a_{2} + 2 = - 2 + 2 = 0$ $a_3=a_2+2=-2+2=0$

$a_{4} = a_{3} + 3 = 0 + 3 = 3$ $a_4=a_3+3=0+3=3$

$a_{5} = a_{4} + 4 = 3 + 4 = 7$ $a_5=a_4+4=3+4=7$

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

How do you find the first five terms of each sequence a_1=-3a1=−3a_1=-3, a_(n+1)=a_n+nan+1=an+na_(n+1)=a_n+n?