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Mathematics 21 Online
OpenStudy (anonymous):

Find the sum of the series. uploaded

OpenStudy (anonymous):

OpenStudy (anonymous):

This is arithmetic series, so use arithmetic formula

OpenStudy (anonymous):

really? i guess so but i don't know it. i would take \[96\sum_{k=1}^{20} 1-12\sum_{k=1}^{20}k\]

OpenStudy (anonymous):

then subtract off first two. first one is obviously \[20\times 96\]

OpenStudy (anonymous):

second one is \[-12\frac{20(21)}{2}\]

OpenStudy (saifoo.khan):

just for a sec!

OpenStudy (saifoo.khan):

Just chk where i went wrong!

OpenStudy (saifoo.khan):

Simplest ques ever!

OpenStudy (anonymous):

i get -600 from which i have to subtract \[96-12+(96-24)=180\]

OpenStudy (anonymous):

i get -780

OpenStudy (anonymous):

THANKS EVERYONE

OpenStudy (anonymous):

k doesn't equal 1, it equals 3 in the attached equation. Answer should be -756. I'll post the equations in a min.

OpenStudy (anonymous):

i know k = 3 that is why i subtracted off the first two terms. could be arithmetic mistake though

OpenStudy (anonymous):

In that equation, you're doing: (96x20) - 12 [20*21/2] 1920 - 2520 = -600 Now 96−12+(96−24) doesn't equal 180, it equals 156 (didn't subtract the 24) -600 - 156 = -756 Always double check your work :) I got to the same answer by a more complicated usage of summation, but at least now we're sure it's right and we know WHY :)

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