Which of the following does not make sense for the series : 2+4+8+16+32+64+128
\[\sum_{n=1}^{7} 2^2 or \sum_{n=0}^{6} 2^n+1 or \sum_{n=2}^{8} 128 (1/2)^ {n-2} OR \sum_{n=1}^{7} 128 (1/2)^{n} \]
(( actually on the first series it has to be 2^n not 2^2)
you figured that out correctly ! you still stuck wid something here ?
Wait no I didn't, I just did a type!
*typo!
for second option, that +1 is at the exponent, right ?
yes!
good :) then except first option, all others are making sense to me. what about u ?
But one of them is incorrect??
first one doesn't make sense
It is supposed to be 2^n because I did a typo
oh i see ok
yea
254
\(\sum_{n=1}^{7} 2^n \ or\ \sum_{n=0}^{6} 2^n+1 \ or\ \sum_{n=2}^{8} 128 (1/2)^ {n-2} \ OR \ \sum_{n=1}^{7} 128 (1/2)^{n} \)
the secone one is actually ^n+1
\(\sum_{n=1}^{7} 2^n \ or\ \sum_{n=0}^{6} 2^{n+1} \ or\ \sum_{n=2}^{8} 128 (1/2)^ {n-2} \ OR \ \sum_{n=1}^{7} 128 (1/2)^{n} \)
Yes!
First option works
second option works
third option works
oh but the 4th doesn't
but doesn't the 3rd not work aswell
fourth option if u expand, lets see what we get :- \( \sum_{n=1}^{7} 128 (1/2)^{n} \) \( 128 (1/2)^{1} + 128 (1/2)^{2} + 128 (1/2)^{3} + 128 (1/2)^{4} + 128 (1/2)^{5} + 128 (1/2)^{6} + 128 (1/2)^{7} \) \( 64+ 32 + 16 + 8 + 4 + 2 + 1 \)
Oh h I see
so fourth option wont work.
lets expand third option and see
\(\sum_{n=2}^{8} 128 (1/2)^ {n-2} \) \( 128 (1/2)^{2-2} + 128 (1/2)^{3-2} + 128 (1/2)^{4-2} + 128 (1/2)^{5-2} + 128 (1/2)^{6-2} + 128 (1/2)^{7-2} + 128 (1/2)^{8-2} \) \( 128 (1/2)^{0} + 128 (1/2)^{1} + 128 (1/2)^{2} + 128 (1/2)^{3} + 128 (1/2)^{4} + 128 (1/2)^{5} + 128 (1/2)^{6} \) \( 128 + 64 + 32 + 16 + 8 + 4 + 2 \)
mhm so that would work ... ?
yep ! only fourth doesnt work, rest everything works
But how come it still works but it is just flipped ?
Also wheny ou plug in "n" for #3 it seems to not make sense ?
128 + 64 + 32 + 16 + 8 + 4 + 2 is same as 2 + 4 + 8 + 16 + 32 + 64 + 128
ohh
I did not know that lol
lol
thnx!
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