Nora M.

asked • 06/01/15

Find the nth term of figurative number

The nth square number , Sn, equals the sum of the first n odd natural numbers. The nth value of what figurative number equals the sum of the first n even natural numbers? To put it another way, 2+4+6+...+2n= the nth term of what figurative number?
 
This is my work:
 
2+4+6+...+2n-6+2n-4+2n-2
2n-2+2n-4+2n-6+...+2+4+6
 
2n+2n+2n...2n+2n+2n
 
n sets of 2n= n(2n)= 2n^2/2= n^2
The nth

Mark M.

Do you mean a "figurate number?"
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06/01/15

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