Question

How do I figure this out?
What is the recursive definition for the sequence 3, 5, 9, 17, 33 . . . ?
Identify how many terms change from one to the next.

Answer 1

@hartnn

Answer 2

do you see any pattern in that sequence ?

Answer 3

Well 3 to 5 is
3 + 2
5 to 9 is
5 + 4
9 to 17 is
9 + 8
17 to 33 is
17 + 16
so
2^n?

Answer 4

very close!

just 2^n ?
when you plug in n=1, you get 2^1 = 2
but your first term is 3

so what could be the function?

Answer 5

\[\large 2^n+1?\]

Answer 6

absolutely correct! :)

Answer 7

Great thank you! It's been awhile since I've done anything in this class!

Answer 8

you're good at this :)

Answer 9

lol thanks

Answer 10

welcome ^_^