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Mathematics 14 Online
OpenStudy (anonymous):

done

OpenStudy (anonymous):

OpenStudy (irishboy123):

Yes you do! Series starts at n=3, so first index is 3-1 = ????. Yes?

OpenStudy (anonymous):

wouldnt you add since it starts at 3 but goes to 12 so 1+2+3+4+5+6+7+8+9+10+11+12 like regular stiga

OpenStudy (phi):

you can do a few things. one thing is write \[ 0.5^{n-1}= 0.5^n \cdot 0.5^{-1} \] 0.5 to the -1 power means "flip" ½ to get 2 so the problem is \[\sum_{n=3}^{12}20 \cdot 2 \cdot 0.5^n= 40 \sum_{n=3}^{12}0.5^n\]

OpenStudy (anonymous):

I get 37.5 is that right

OpenStudy (anonymous):

the first half I get 9.9

OpenStudy (phi):

There is a formula for the sum from n=0 to 12. we could use that, and subtract off the sum from n=0 to 2 the answer is 5115/512 = 9.99023438

OpenStudy (anonymous):

so I was right with 9.9 thank you very much

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