Question

7. Express 64 as the sum of 8 odd numbers.
8. Express the following as the sum of two consecutive integers:
(1) 15²​

Answer 1

Answer:

Here is the answer

Step-by-step explanation:

7. We know that

64 as the sum of 8 odd number =8 power 2

=n 2

Here n=8

It can be written as

1+3+5+7+9+11+13+15

8. Let us consider the consecutive positive integers be x,x+1.

According to the problem,

x+(x+1)=15 power 2

or, 2x+1=225

or, 2x=224

or, x=112.

The required integers are 112,113.

ii) Let us consider the consecutive positive integers be x,x+1.

According to the problem,

x+(x+1)=21

2

or, 2x+1=441

or, 2x=440

or, x=220.

The required integers are 220,221.