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Can someone please help me solve this?
Find three consecutive integers whose sum is equal to the product of the first two.
4 Answers
- Anonymous9 years agoFavorite Answer
3 2 and 1.... 3+2+1= 6 and 3 x 2= 6 lol i think i did it wrong
Ahhh editt its 3, 4 and 5....
- trueproberLv 79 years ago
Hello Andy, let the three consecutive integers be k-1, k and k+1
Their sum is 3k
Product of the first two = k^2 - k
Given k^2 - k = 3k
==> k^2 -4k = 0
===> k(k-4) = 0
Hence k=0 or k=4
So the three integers could be -1, 0, +1 OR 3,4,5
You can verify yourself.
- Anonymous9 years ago
n,(n+1),(n+2)
n+(n+1)+(n+2) = n*(n+1)
3n+3 = n^2+n
n^2-2n-3 = 0
(n-3)(n+1) = 0
n = 3 or -1
n must be positive then n = 3
sequence is 3,4,5
- 9 years ago
let the nos are n-1 , n , n+1 the from question 3n= n*(n-1) or 3*n=n^2-n or n^2-4*n=0 or n=0 or n=4so the answer is -1,0,1 or 3,4,5
hope this helps