Melvin is building a castle with a series of towers out of blocks. Each tower has twice as many blocks as the previous tower, and then 3 more. If the first tower has x^2+2x+3 blocks in it, and Melvin builds 5 towers in all, how many blocks will he have used in total?
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OpenStudy (lovelyanna):
@math&ing001 can you help me?
OpenStudy (math&ing001):
Sure what is it ?
OpenStudy (anonymous):
OpenStudy (lovelyanna):
I asked it somewhere else, I can't tag you, it doesn't work
OpenStudy (lovelyanna):
Can you reach my question? Maybe if I go there, you can follow me?
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OpenStudy (math&ing001):
@LovelyAnna go there I'll follow you.
OpenStudy (lovelyanna):
Ok
OpenStudy (lovelyanna):
Did you see my question @math&ing001
OpenStudy (lovelyanna):
Thanks
OpenStudy (math&ing001):
Welcome !
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OpenStudy (math&ing001):
@sirizarry78 sry made a mistake before. It's gonna be 2(x^2+2x+3)+3 for the 2nd tower
and 2[ 2(x^2+2x+3)+3]+3 for the 3rd tower....
Number of blocks used for the 5th will look like :
2(2( 2[ 2(x^2+2x+3)+3]+3)+3)+3
You won't have to simplify all that if you see that the factor of x^2 is 2*2*2*2=16