Find the first 5 terms of the sequence an defined below. a_n = { -2n+3 if n is divisible by 3}
{-n -2 if n is not divisible by 3}

a_1=-3  a_2= -4  a_3=-3    a_4=-6   a_5=-7

Step-by-step explanation:

We have to find first 5 terms of sequence.  It means that n =1 or 2or3 or4 or 5

Only n=3 of them is divisible by 3 .  n=1 ,2,4 and 5 are not divisible by 3.

So in case n=3 we have to find a_3 using formula  a_n=-2n+3

In all other cases we have to use formula a_n= -n-2.

Lets do it !

a_1= -1-2=-3

a_2=-2-2= -4

a_3=-2*3+3=-6+3=-3

a_4=-4-2=-6

a_5=-5-2=-7

1,918

step-by-step explanation: