Question

PLEASE IF YOU ARE SMART HELP ME WITH THIS PROBLEM. I WILL GIVE YOU EXTRA POINTS

Answer 1

`a_(n) = 2a_(n-1) + 3`


`a_(1) = 2`


`a_(2) = 2a_(2-1) + 3 = 2a_(1) + 3 = (2*2) + 3 = 4 + 3 = 7`


`a_(3) = 2a_(3-1) + 3 = 2a_(2) + 3 = (2*7) + 3 = 14 + 3 = 17`


`a_(4) = 2a_(4-1) + 3 = 2a_(3) + 3 = (2*17) + 3 = 34 + 3 = 37`


`a_(5) = 2a_(5-1) + 3 = 2a_(4) + 3 = (2*37) + 3 = 74 + 3 = 77`

Hence, the first five terms are 2, 7, 17, 37, 77.