Question 1036224: Use mathematical induction to prove the statement is true for all positive integers n.
8+16+24+...+8n=4n(n+1) Answer by ikleyn(52781) (Show Source):
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Use mathematical induction to prove the statement is true for all positive integers n.
8+16+24+...+8n=4n(n+1)
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Hey, take the factor 8 out of the parentheses, and you will get
8*(1 + 2 + 3 + . . . + n) = .
It is well known fact that
1 + 2 + 3 + . . . + n =
proven many times by many methods, including the method of the mathematical induction.
