Discrete Mathematics and Its application

PLEASE , be thorough in your answer and explain steps, this makes it alot easier for me to understand thank you.

4) Just like we use the symbol 2 for summation, we can also use the symbol H for a product. For example, if I Wished to express the product of the rst 5 squares i could write 5 Hk2212x22x32x42x52 k=1 Compute H 1 2 [6:2 ( k: for n = 2, 3, 4, and 5 and use the results to make a conjecture for a general formula for 112:2 (1 16%) and use induction to prove that your formula is correct