Question

find the product of all integers from -1,000 to 1,000​

Answer 1

Answer:

Answer

Let the four consecutive integers be n, (n + 1), (n + 2) and (n + 3).

Product = n(n + 1)(n + 2)(n + 3)

We know that every integer can be written in the form of 3k, 3k + 1 and 3k + 2.

For, n = 3k

Product = n(n + 1)(n + 2)(n + 3)

= 3k(3k + 1)(3k + 2)(3k + 3)

= 3

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