What is the general form of the series 1 + 2 + 4 + 8 + 16 + … + 1,024?

∑i=1102i−1

∑i=1102i

∑i=1112i−1

∑i=1112i

Question

What is the general form of the series 1 + 2 + 4 + 8 + 16 + … + 1,024?

∑i=1102i−1

∑i=1102i 

∑i=1112i−1 

∑i=1112i

xapproachesinfinity · Answer

it seems that it is a geometric serie, An=A1.r^n-1

anonymous · Answer

do u know the answer i have no clue and its an exam

xapproachesinfinity · Answer

can see the A1 and the ratio?

anonymous · Answer

thats all they give me

xapproachesinfinity · Answer

So? what do you know about geomtric series and sequences?

anonymous · Answer

nothing its randomly in my exam

anonymous · Answer

whats the answer?

xapproachesinfinity · Answer

Oh they're are asking you to find the summation?

anonymous · Answer

no the general form

xapproachesinfinity · Answer

the sum formula is something like this $$\sum_{i=0}^{n-1}ar ^{i}$$
if i remember, not so sure though

xapproachesinfinity · Answer

a is the first term which is 1 in your this problem

xapproachesinfinity · Answer

r the ratio is 2

xapproachesinfinity · Answer

@SolomonZelman, nut sure the sum formula is that can you make sure?

xapproachesinfinity · Answer

by the way we cannot just tell you the answer, we help you to to work out the answer so you understand it next time