Question

If x-1 is a natural number then the next natural number is x-1 +1= X Which is the next natural number What is (x-1) * (X+1). A,b,c are any three consecutive natural number write the relationship between the product of a and c and the square of b.

Answer 1

See below.

Explanation:

The next natural number is x+1.

( x - 1)(x + 1) = x^2 - 1.

Let a = x-1, b = x and c = x+1 ( as they are consecutive numbers).

Product of a and c = ac = x^2 - 1 (as above).

b^2 = x^2.

so ac = x^2 - 1 = b^2 - 1

ac = b^2 - 1