Question

Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16 + 24 + ... + 8n = 4n(n + 1)

Answer 1

8++16+...+8n = 4n(n+1)

and, using regular Algebra, you can change it into the formula for (n+1):

8++16+...+8n+8(n+1) = 4(n+1)((n+1)+1)