Express 144 as a sum of successive odd natural numbers.
Answers
Step-by-step explanation:
sum of first n odd numbers=n^2
144
=12^2
= sum of first 12 odd numbers
=1+3+5+7+9+11+13+15+17+19+21+23
so 144 =1+3+5+7+9+11+13+15+17+19+21+23
144 = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
Given :
The number 144
To find :
Express 144 as a sum of successive odd natural numbers.
Solution :
Step 1 of 2 :
Write down the given number
Here the given number is 144
Step 2 of 2 :
Express 144 as a sum of successive odd natural numbers.
We know that , Sum of n consecutive odd natural numbers is n²
144 = 12²
Now , first 12 odd natural numbers are 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 , 17 , 19 , 21 , 23
Thus we get
144
= 12²
= 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
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