10. The number 24 is the sum of consecutive odd numbers because 24 = 3 + 5 + 7 +

Question

10. The number 24 is the sum of consecutive odd numbers because 24 = 3 + 5 + 7 + 9 a. Investigate which numbers are the sum of consecutive odd numbers. b. The number 18 is the sum of consecutive even numbers because 18 = 4 + 6 + 8. Investigate which numbers are the sum of consecutive even numbers. c. Find a simple rule to test whether a number is either the sum of consecutive odd numbers or the sum of consecutive even numbers. d. Test the following numbers against your rule. ii. 27 ii. 49 iv. 51 V. 53

Explanation / Answer

a) i)17= you cannot write as sum of the consecutive odd numbers..

ii)27= 7+9+11

iii)49= 1+3+5+7+9+11+13

iv)51= you cannot write it as sum of the consecutive odd numbers.

v) 53=15+17+19

b)Given all the numbers are odd numbers.

an odd number cannot be formed by adding even numberss.

Hence you cannot write given numbers as a sum of consecutive odd numbers.

d)27 ,49, 53 are the numbers which can be written as the sum of consecutive odd integers.

  

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