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Algebra: Summation

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Please discuss how to get the results of:

1*3 + 2*4 + 3*5 + .... + n*(n+2) = ?

and

1*3 + 3*5 + 5*7 + .... + (2n-1)*(2n+1) = ?

Please help if you can.

Thank you.

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Solution Summary

Using well-known sums such as the sum of the first n integers and the sum of first n integers squared, we find two product sums.

Solution provided by:
Chris Busu, PhD (IP)
Education
  • BSc, University of Bucharest
  • MSc, Ovidius
  • MSc, Stony Brook
  • PhD (IP), Stony Brook
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