In: Physics
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