Oct 19, 2021 #1 Math100 Messages 816 Reaction score 229 Homework Statement Prove 1^2+2^2+...+n^2=(1/6)n(n+1)(2n+1) for all positive integers n. Relevant Equations None. Please check/confirm my work of this proof and tell me if it's correct or not. Thank you. Attachments Proof.pdf Proof.pdf 630.2 KB · Views: 196
Oct 19, 2021 #2 mjc123 Science Advisor Homework Helper Messages 1,398 Reaction score 796 Your proof is not correct. Your final equation is not equal to the formula for n+1, and you are trying to prove the wrong thing anyway. The series is 12 + 22 +...+ n2, not 1 + 2 +...+n.
Your proof is not correct. Your final equation is not equal to the formula for n+1, and you are trying to prove the wrong thing anyway. The series is 12 + 22 +...+ n2, not 1 + 2 +...+n.