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.