summation notation

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- anonymous

summation notation

- katieb

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- anonymous

\[10+\sum_{1}^{5}(n^3-1)\]

- anonymous

It means: (1^3 -1) + (2^3 - 1) + (3^3 -1) + (4^3 -1) + (4^3 -1) +10

- anonymous

0 + 7 + 26 + 63 + (oops that last one should be 5^3 - 1) 124 + 10 =230

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## More answers

- anonymous

i knew it was like that i just wanted to make
sure thank you very much!! :-)

- anonymous

i have another question what is the domain and range of a function?

- anonymous

sure

- anonymous

domain is defined by the numbers above and below the summation symbol
the range....hmmm I'm not sure on that since the result is one answer not like a function which would have a well...range of answers. Sorry not sure on the theory on that.

- anonymous

If you are asking about functions in general: domain is asking what numbers can 'legally' be entered for the x value. f(x)=2+x it is ok to put any number in for x so the domain would be all real numbers noted as R or (-oo, +oo) if you like intervals. You only need to worry about domain problems when there are restrictions on valid numbers in the function. For example: NO DIVIDING BY ZERO So the domain for f(x)=1/x ...x can't = 0 ya? So all real numbers != (not equal) to 0. Other rules: can't get square roots of numbers less than 0.
Range is just asking what valid answers will pop out of the function.

- anonymous

...

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