- #1
sitedesigner
- 20
- 0
ok, i need to derive a forumla that will add the consecutive squares of n numbers.
for example [tex]1^2 + 2^2 + 3^2 + ... + (n-2)^2 + (n-1)^2 + (n)^2[/tex]
I have worked on this problem for quite some time and haven't been able to come up with anything.
I do know that the sum of consecutive numbers starting at one is
[tex]\frac{n}{2} (n+1)[/tex]
A very detailed explanation would be excellent as that's what my professor wants.
for example [tex]1^2 + 2^2 + 3^2 + ... + (n-2)^2 + (n-1)^2 + (n)^2[/tex]
I have worked on this problem for quite some time and haven't been able to come up with anything.
I do know that the sum of consecutive numbers starting at one is
[tex]\frac{n}{2} (n+1)[/tex]
A very detailed explanation would be excellent as that's what my professor wants.
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