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anonymous
 one year ago
The cubes in the diagram have sides of 1, 2, and 3, respectively. If the pattern continues, what will be the sum of the volumes of the first 100 cubes in the sequence? Express your answer in cubic units.
anonymous
 one year ago
The cubes in the diagram have sides of 1, 2, and 3, respectively. If the pattern continues, what will be the sum of the volumes of the first 100 cubes in the sequence? Express your answer in cubic units.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440269656166:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.01^3+2^3+3^#+...... \[1^3+2^3+3^3+...+n^3=\left( \sum_{}^{}n \right)^2\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correction 3^3 not 3^#

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@surjithayer @mathmate @peachpi what does ^ mean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ooohhhhhhhh. thx @peachpi

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sum_{}^{}n=\frac{ n \left( n+1 \right) }{ 2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So how do I figure this out in "kids'" language

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[1+2+3+...+n=\frac{ n \left( n+1 \right) }{ 2 }\] put n=100 and simplify

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\sum _{n=1}^{100} n^3=25502500 \]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[1^3+2^3+3^3+...+100^3=\left( \frac{ 100\left( 100+1 \right) }{ 2 } \right)^2=\left( 50 \times 101 \right)^2=5050^2=?\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0In 7th grader words..... and what do all these slashes and { mean?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You know what \(\sum \) means?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It means sum. It's shorthand so instead of adding up 1³, 2³, 3³, all the way to 100 @surjithayer gave you a short hand formula

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OHHH. I know what the word sum means I don't know why all of the () and / s are there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0n is the amount of numbers you want to add up. That's 100. So plug 100 into this the right side of this formula \[\sum_{n=1}^{100}n^3=\frac{ n^2(n+1)^2 }{ 4 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 100 = 1 What.... is there an answer???

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0change the n's to 100 100²(100+1)²/4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes that's your answer

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and how would I say cubic units

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just put the words "cubic units" after the number

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok. Thank you so much!!!!!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If I Have to show my work I would just out down the formula but Im a 7th grader so I want my teacher to believe me too.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Here's a link to the formula. List it as a source http://www.9math.com/book/sumcubesfirstnnaturalnumbers

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks. Ill check it out
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