Question

A sequence is defined recursively by the given formulas. Find the first five terms of the sequence.

an = 2(an − 1 + 4) and a1 = 5 (the n and n-1 is suppose to be a subscript, I just can't figure out how to make it like that)

Answer 1

• a_n=2(a_n-1 +4)
• a_n=2a_n-1+8

So

a_2

• 2a_1+8=2(5)+8=18

a_3

• 2a_2+8=2(18)+8=44

a_4

• 2a_3+8=2(44)+8=96

a_5

• 2a_4+8=2(96)+8=200