Question

Express the following as a sum of consecutive odd numbers starting with 1

(i) 72 (ii) 92 (iii) 52 (iv) 112

Answer 1

35 + 37 = 72 , 45 + 47 = 92  , 25 + 27 =52  ,  55 + 57 =112

Step-by-step explanation:

let say two consecutive odd numbers are

2n-1  & 2n+1

2n - 1 + 2n + 1 = 72

=> 4n = 72

=> n = 18

2n-1 = 35

2n+1 = 37

35 + 37 = 72

2n - 1 + 2n + 1 = 92

=> 4n = 92

=> n = 23

2n-1 = 45

2n+1 = 47

45 + 47 = 92

2n - 1 + 2n + 1 = 52

=> 4n = 52

=> n = 13

2n-1 = 25

2n+1 = 27

25 + 27 =52

2n - 1 + 2n + 1 = 1122

=> 4n = 112

=> n = 28

2n-1 = 55

2n+1 = 57

55 + 57 =112

Learn more:

the sum of three consecutive odd numbers is 147 find the numbers ...

https://brainly.in/question/7850464

Answer 2

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