Math, asked by chriselbabypc, 4 months ago

Express 144 as a sum of successive odd natural numbers.​

Answers

Answered by gopalpvr
1

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

Answered by pulakmath007
1

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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