1. We can express the square of any odd number as the sum of two consecutive positive integers, for example 72 = 49 can be written as 49 = 24 + 25, write each of the followin
Squares of odd numbers, as a sum of two consecutive positive integers.
a. 169
b. 225
c. 289
d. 6561

a) 169 = 13² = 84+85

b) 225 = 15² = 112+113

c) 289 = 17² = 144+ 145

d) 6561 = 81² =  3280+ 3281

Step-by-step explanation:

Explanation:-

a) Given  169 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

169 = 13² = 84+85

b)

Given  225 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

225 = 15² = 112+113

c)

Given  289 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

289 = 17² = 144+ 145

d)

Given  6561 is an odd number

Squares of odd numbers, as a sum of two consecutive positive integers

6561 = 81² =  3280+ 3281