Question

The difference between the squares of two consecutive number is equal to their
0 difference (ii) sum
(iii) product
(iv) quotient​

Answer 1

Given:

Two consecutive numbers

To Find:

Difference between the squares of two consecutive numbers

Solution:

We know that,

➺ (a+b)²= a²+b²+2ab

Let the two consecutive numbers be x and x+1

Now,

➳ (x+1)² -x²

➳ x²+1+2x- x²

➳ 2x+1

It can also be written as

➳ x+x+1

➳ (x)+(x+1)

Which is the sum of consecutive numbers

Hence, difference between the squares of two consecutive numbers is equal to their sum(ii).

Types of Basic Numbers:

1) Natural Numbers-

   1,2,3,4,5,6,.......

2) Whole Numbers-

   0,1,2,3,4,5,.......

3) Integers-

    … ,-3,-2,-1,0,1, 2,3,4,…

Answer 2

Answer:

two consecutive number