Help me make a equation for this chart? Please!

x=1 y=1
x=2 y=1+2
x=3 y=1+2+4
x=4 y=1+2+4+8
x=5 y=1+2+4+8+16
x=6 y=1+2+4+8+16+32
x=7 y=1+2+4+8+16+32+62

Question

Help me make a equation for this chart? Please! 

x=1 y=1
x=2 y=1+2
x=3 y=1+2+4
x=4 y=1+2+4+8
x=5 y=1+2+4+8+16
x=6 y=1+2+4+8+16+32
x=7 y=1+2+4+8+16+32+62

anonymous · Answer

That last one is supposed to be " .. 16+32+64" right?

anonymous · Answer

yes

anonymous · Answer

Do you still need help? It says the question is closed.

anonymous · Answer

Yes, I closed it by mistake.

anonymous · Answer

Ok, do you know the general formula for numbers that look like those? 1, 2, 4, 8, 16, etc.

anonymous · Answer

no

anonymous · Answer

Ok. They're powers of two. 
$2^0 = 1$
$2^1 = 2$
$2^2 = 4$
$2^3 = 8$
$2^4 = 16$ and so on...

anonymous · Answer

oh yes I know those sorry I wasn't quite sure what you were talking about.

anonymous · Answer

Ok! Well, if you know that, then think about the series you have. Pick a couple of them at random and add them up and see if the result looks familiar.

anonymous · Answer

Better yet add one of the larger ones up by hand so you can see the sum at each phase and really think about what you're getting...!