Question

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 )to answer (a) and (b)

also use colored chips for (a) and (b)

Answer 1