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

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Physics

Research the hexagonal numbers whose explicit formula is givenby

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

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

please use n=5

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