SOLUTION: A number n is 1 plus the sum of the squares of three consecutive odd integers. what is the largest integer factor of all such numbers n?

SOLUTION: A number n is 1 plus the sum of the squares of three consecutive odd integers. what is the largest integer factor of all such numbers n?

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Question 251658: A number n is 1 plus the sum of the squares of three consecutive odd integers. what is the largest integer factor of all such numbers n?
Answer by vksarvepalli(154) (Show Source): You can put this solution on YOUR website!
let the 3 consecutive odd no.s be 2t-1, 2t+1, 2t+3
so n=
expanding the terms and simplifying we get
n=
so the largest common factor of all such no.s n is 12.
ans: 12
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