Research the hexagonal numbers whose explicit formula is given by Hn=n(2n-1) Use colored chips or colored...

Research the hexagonal numbers whose explicit formula is given by

Hn=n(2n-1)
Use colored chips or colored tiles to visually prove the following for .(n=5)
[a] The nth hexagonal number is equal to the nth square number plus twice the (n-1) ^th triangular number. Also provide an algebraic proof of this theorem for full credit

. [b] The nth hexagonal number is equal to the (2n-1)^th triangular number.
Also provide an algebraic proof of this theorem for full credit.

please use n=5

Solutions

Expert Solution

genius_generous answered 1 year ago

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