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What is the sum of the function f(n)=(nth triangular number)^2 when n= 1,2, and 3

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The function is: f(n) = (n-th triangular number) ^ 2

So, f(1) = (first triangular number) ^ 2

the '^ 2' means "multiply the number by itself", e.g., '3^2' is '9'.

And, f(2) = (second triangular number) ^ 2
and, f(3) = (third triangular number) ^ 2

So, what is a "triangular number" ?

Do an Internet search for "definition triangular number",
and you may find the web-page;

http://www.mathsisfun.com/definitions/triangular-number.html

which gives a definition, plus pictures to help you visualize why they are called "triangular". Hint: a "tri-angle" has 3 sides, while a "quad-rangle" has 4 sides.



Posted on Jan 07, 2010

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