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wampominater
 one year ago
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.
wampominater
 one year ago
Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.

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wampominater
 one year ago
Best ResponseYou've already chosen the best response.0\[4\times6 + 5 \times7 +6\times8 +... + 4n(4n+2) = \frac{ 4(4n+1)(8n+7) }{ 6 }\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1well first step is try to show it is true for n=1

wampominater
 one year ago
Best ResponseYou've already chosen the best response.0is n = 1 4? or 4x6

freckles
 one year ago
Best ResponseYou've already chosen the best response.1for n=1 you only have one term which is the 4*6 on the left hand side

wampominater
 one year ago
Best ResponseYou've already chosen the best response.0ok so I am trying to show that 24 = the fraction at the end there

wampominater
 one year ago
Best ResponseYou've already chosen the best response.0ok, and if that doesnt = 24 then it is false, right?

wampominater
 one year ago
Best ResponseYou've already chosen the best response.0alright, I just didnt know if i was doing it right, Thank you for the help, I think thats all I need.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1if the left side confuses you I can show you what the left side looks like for n=2

wampominater
 one year ago
Best ResponseYou've already chosen the best response.0I think i get it now, it was confusing cause it was 4 x 6, but now i realize that since it is a sum that the terms are seperated by +

wampominater
 one year ago
Best ResponseYou've already chosen the best response.0thanks for the help! :)
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