write a recursive and explicit formula for the following sequence;
1,4,10,22

Question

write a recursive and explicit formula for the following sequence; 
1,4,10,22

anonymous · Answer

does anybody know the answer?

anonymous · Answer

Well, to find the recursive relationship, note that the difference between each term is 3*n (assuming you count the first term as 0)

anonymous · Answer

I have to go now, but ill take another crack at the explicit formula when I get back.

anonymous · Answer

my guess for the explicit form would be 
nth number in sequence = $$1+3\sum_{k=0}^{n}2^{k}$$
that sequence doesn't include the first term, it just goes 4,10,22,46,94... etc

Sorry if that doesn't help. I genuinely can't come up with anything =(

anonymous · Answer

thank you though

anonymous · Answer

how about the recrusive?

anonymous · Answer

don't really understand how you got that one

anonymous · Answer

I posted a recursive thing above. Each term is double the previous term + 2

anonymous · Answer

Basically, I used "the difference between each term is 3*n (assuming you count the first term as 0)" to find that sum equation above. 

The recursive relationship is that each term is double the previous term + 2