Wht is the range of the following 1/2 + 1/2^2 + 1/2^3+.....+

Question

Wht is the range of the following
1/2 + 1/2^2 + 1/2^3+.....+ 1/2^10

venksune · Answer

1/2-1/2^10 = (2^9 - 2)/2^10 = 255/512.

Dookie · Answer

Same for me. 
Largest = 1/2
Smallest = 2^(-10)

Substruct and get the range.

twixt · Answer

What do you mean by range here ??

Sum = (1/2-1/2^11)/(1-1/2)= 1-1/2^10=(1024-1)/1024 = 1023/1024

sdanquah · Answer

I don't think you need to find the sum before finding the range. all you have to do is substract the smalest in the series from the highest as it has been done above.

myfrankenstein · Answer

Yes, subtraction is all that makes sense.

catch20plus2 · Answer

shouldn't 1/2 - 1/(2^10) be (2^9) - 1/(2^10) = 511/1024 ?

hardworker_indian · Answer

If this is a series, it should have been:
1/2, 1/2^2, 1/2^3,.....,1/2^10

Alex_NL · Answer

If it is a series I get as answer:

511/1024.

1/2^10 - 1/2.

Regards,

Alex

myfrankenstein · Answer

It is a series yes, but the question does not ask for the sum of the series

. 1023/1024 is incorrect. 2^9 = 512 2^10 = 1024 (2^9 -1)/2^10 = 511/1024

Wht is the range of the following 1/2 + 1/2^2 + 1/2^3+.....+

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