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Mathematics 13 Online
OpenStudy (anonymous):

Please find attached

OpenStudy (anonymous):

ganeshie8 (ganeshie8):

ack bad camera.. .its not visible properly lol

ganeshie8 (ganeshie8):

its "11" above ?

ganeshie8 (ganeshie8):

over SUM

OpenStudy (anonymous):

n above the sigm i=1 below it.

OpenStudy (anonymous):

You can write it as: \[\large \sum_{i=1}^{n}(4i + 2) \implies \sum_{i=1}^{n}(4i) + \sum_{i=1}^{n}(2)\]

OpenStudy (anonymous):

Or: \[4\sum_{i=1}^{n}i + 2n \implies 4 (\frac{n(n+1)}{2}) + 2n\]

OpenStudy (anonymous):

sorry that confused me.

OpenStudy (anonymous):

Using the formula: \[\large \sum_{k= 1}^{n}(k) = \frac{n(n+1)}{2}\]

OpenStudy (anonymous):

Where you did not get??

OpenStudy (anonymous):

no no no, I get it.

OpenStudy (anonymous):

See, \[\sum_{k = 1}^{n} = 1 + 2 + 3+ 4............+n = \frac{n(n+1)}{2}\]

OpenStudy (anonymous):

And adding 2 n times you will get 2n..

OpenStudy (anonymous):

2n^2+4n???

OpenStudy (anonymous):

\[\implies 2n(n+1) + 2n = 2n^2 + 4n\] Yes you are absolutely right..

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