Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (curry):

sigma

OpenStudy (curry):

\[\sum_{x=1}^{25}\] K^2 -3k +4 what is the formula to solve if u dont have calculator

OpenStudy (curry):

please help

OpenStudy (anonymous):

\[\sum_{x=1}^{25}k^2-3\sum_{x=1}^{25}k+4\sum_{x=1}^{25}1\]

OpenStudy (anonymous):

imran please go ahead, i have to get back to work

OpenStudy (anonymous):

but this one is pretty easy \[4\sum_{k=1}^{25}1=4\times 25=100\]

OpenStudy (anonymous):

sum 1 to n of (1) is equal to n sum 1 to n of (i) is equal to n(n+1)/2 sum 1 to n of (i^2) is equal to n(n+1)(2n+1)/6 um i think.

OpenStudy (anonymous):

yes, agreed^

OpenStudy (anonymous):

@curry you got this?

OpenStudy (anonymous):

\[\sum_{k=1}^{n}k=\frac{n(n+1)}{2}\] so \[-3\sum_{k=1}^{25}k=-3\times \frac{25\times 26}{2}\]

OpenStudy (curry):

kind a

OpenStudy (anonymous):

\[\sum_{k=1}^nk^2=\frac{n(n+1)(2n+1)}{6}\] so \[\sum_{k=1}^{25}k^2=\frac{25(26)(51)}{6}\]

OpenStudy (anonymous):

now you have all the numbers you need, grind it out with a calculator

OpenStudy (anonymous):

should get 4650 if you do it right http://www.wolframalpha.com/input/?i=sum+k+%3D+1+to+25+%28k^2-3k%2B4%29

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!