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Mathematics 14 Online
OpenStudy (anonymous):

PRE CALC QUESTIONS (2) HELP!!!! WILL MEDAL AND FAN

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (jhannybean):

Do you know how to write the notation for \(i^2\)?

OpenStudy (anonymous):

No @Jhannybean

OpenStudy (jhannybean):

\[\sum_{i=1}^n i^2 = \frac{n(n+1)(2n+1)}{6}\]

OpenStudy (jhannybean):

Therefore \[\sum_{i=1}^5i^2 =\frac{5(5+1)(2(5)+1)}{6}\]\[\sum_{i=1}^3 i^2 = \frac{3(3+1)(2(3)+1)}{6}\]

OpenStudy (jhannybean):

Can you simplify and evaluate these fractions?

OpenStudy (anonymous):

would you combine like terms, like in the first one, its like 5(5+1)(2(5)+1) it would be 5(5+1)(2)/6 ? @Jhannybean

OpenStudy (anonymous):

but wait , what would the difference be in the first one?

OpenStudy (anonymous):

@Jhannybean

OpenStudy (jhannybean):

[5(6)(11)]/6 = ? [3(4)(7)]/6 = ?

OpenStudy (jhannybean):

Don't make it harder than it needs to be :P

OpenStudy (anonymous):

oh wait okay, so, the first one is 55 and the secon one is 14 and the difference is 41 @Jhannybean

OpenStudy (jhannybean):

yes )

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