Rearranging Algebra

**BabyMilo** · March 19th 2010, 11:29 AM

How do you rearrange from $2-\frac{k+2}{2^k}+\frac{k+1}{2^{k+1}}$ to give $2-\frac{k+3}{2^{k+1}}$

thank you!

**s_ingram** · March 19th 2010, 11:50 AM

Hi BabyMilo!

I think you have made a typing error!

If you mean :

$2 - \frac{k + 2}{2^k} - \frac{k+1}{2^{k+1}}$

then you can arrange it to get

$2 - \frac{k+3}{2^{k+1}}$

let me know and if you are still stuck i'll type out the answer!

**Anonymous1** · March 19th 2010, 11:50 AM

Lemme know if you need explanation for any particular step.

$2- \frac{k+2}{2^k} - \frac{k+1}{2^{k+1}} = 2- \frac{k+2}{2^k} - \frac{k+1}{{\color{red} 2\times2^k}} = 2- \frac{{\color{red} 2}(k+2)}{{\color{red} 2}\times2^k} - \frac{k+1}{2\times2^k} =$ $2- \frac{2(k+2) - (k+1)}{2\times2^k}= 2- \frac{{\color{red}2k+4 - k-1}}{2\times2^k}= 2 - \frac{k+3}{{\color{red}2^{k+1}}}$

**harish21** · March 19th 2010, 11:51 AM

Originally Posted by BabyMilo

How do you rearrange from $2-\frac{k+2}{2^k}+\frac{k+1}{2^{k+1}}$ to give $2-\frac{k+3}{2^{k+1}}$

thank you!

$2-\frac{k+2}{2^k}+\frac{k+1}{2^(k+1)}$

= $2-\frac{k+2}{2^k}+\frac{k+1}{(2^k) 2}$

= $2-\frac{2(k+2)}{2^{(k+1)}}+\frac{k+1}{2^{(k+1)}}$

= $2+\frac{-2k-4+k+1}{2^{(k+1)}}$

= $2+\frac{-k-3}{2^{(k+1)}}$

= $2+\frac{-(k+3)}{2^{(k+1)}}$

= $2-\frac{k+3}{2^{(k+1)}}$

Sorry for the LaTex error on the first post

**BabyMilo** · March 19th 2010, 12:04 PM

Originally Posted by harish21

$2-\frac{k+2}{2^k}+\frac{k+1}{2^(k+1)}$

= $2-\frac{k+2}{2^k}+\frac{k+1}{(2^k) 2}$

= $2-\frac{2(k+2)}{2^{(k+1)}}+\frac{k+1}{2^{(k+1)}}$

= $2+\frac{-2k-4+k+1}{2^{(k+1)}}$

= $2+\frac{-k-3}{2^{(k+1)}}$

= $2+\frac{-(k+3)}{2^{(k+1)}}$

= $2-\frac{k+3}{2^{(k+1)}}$

Sorry for the LaTex error on the first post

the steps made it very clear.

thanks

Thread: Rearranging Algebra

LinkBack

Thread Tools

Display

Rearranging Algebra

Similar Math Help Forum Discussions

Rearranging

help rearranging this

Rearranging Algebra

Rearranging Algebra to find Expression for Slope

Help With Rearranging!

Search Tags