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GRE Math Essentials - Summation of series
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23 Oct 2021, 01:34
23 Oct 2021, 01:34
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This is part of our GRE Math Essentials project & GRE Math Essentials - A most comprehensive handout!!! that are the best complement to our GRE Math Book. It provides a cutting-edge, in-depth overview of all the math concepts from basic to mid-upper levels. The book still remains our hallmark: from basic to the most advanced GRE math concepts tested during the exam. Moreover, the following chapters will give you many tips, tricks, and shortcuts to make your quant preparation more robust and solid.
1) Sum of the first positive integers
\(1+2+3+4+5....................... n=\frac{n(n+1)}{2}\)
2) Sum of squares of the first positive integers
\(1^2+2^2+3^2+4^2+5^2+...........n^2=\frac{n(n+1)(2n+1)}{6}\)
3) Sum of cubes of the first positive integers
\(1^3+2^3+3^3+4^3+5^3+...........n^3=\left[ \begin{array}{cc|r} \frac{n(n+1)}{2} \end{array} \right]^2\)
4) Sum of odd integers
\(1+3+5......................(2n-1)=n^2\)
Note that the \(n^{th}\) term is \((2n-1)\)
5) Sum of even integers
\(2+4+6.......................2n=n(n+1)\)
Re: GRE Math Essentials - Summation of series
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23 Mar 2023, 05:53
23 Mar 2023, 05:53
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Re: GRE Math Essentials - Summation of series [#permalink]
23 Mar 2023, 05:53
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