NEED HELP WITH PROBLE is there any that can solve this?

Question

Make a conjecture about the relationship between
three consecutive whole numbers based on this relationship illustrated by the numbers 3, 4, and 5: (3 x 5) = 4 to the 2 power - Can you find acounterexample?

Answer 1

There is no number in our numerical system that will satisfy your condition.

Answer 2

The example you gave is incorrect. A better conjecture would be that for three consecutive whole numbers, the middle number is the average of the first and third.

Answer 3

for the three consecutive numbers n - 1, n and n + 1 it is true that:
(n - 1)(n + 1) = n^2 - 1
It true for every value of n
so (4 - 1) (4 +1) = 4^ 2 - 1
that is 3 * 5 = 4^2 - 1= 16 - 1 = 15

Answer 4

I've heard this question before in a different thing and I think I know what he means. If he's trying to say 'Find an example where [n(n+2)]=(n+1)squared.' I forget, but I believe there is a solution. I can only think of examples where it's less, never even.

Answer 5

x, x+1, x+2 are the 3 numbers
x(x+2) = (x+1)^2
x^2 + 2x = x^2 + 2x +1
2x = 2x +1
0 = 1
No solution, based on this though
x(x + 2) = (x + 1)^2 - 1
should work for every number.

Answer 6

3 x 5 = 15

4^2 = 16

Something is wrong with your question.

Answer 7

dont no, sry partner