Question

A sequence is defined recursively by the given formulas. Find the first five terms of the sequence. An= 2(an-1+3) and a1=4

Answer 1

Using the recursive formula given:
a2 = 2(a1 + 3) = 2(4 + 3) = 14
a3 = 2(a2 + 3) = 2(14 + 3) = 34
a4 = 2(a3 + 3) = 2(34 + 3) = 74
a5 = 2(a4 + 3) = 2(74 + 3) = 154

Therefore, the first five terms of the sequence are: 4, 14, 34, 74, 154