25 can be expressed as the sum of first ________ consecutive odd numbers. *
Answers
Answer:
The correct answer is 5. 25 is the sum of the first 5 consecutive odd numbers 1+3+5+7+9 = 25
25 can be expressed as the sum of first five consecutive odd numbers
Given :
The number 25
To find :
25 can be expressed as the sum of first ___ consecutive odd numbers
Solution :
Step 1 of 2 :
Write down the given number
The given number is 25
Step 2 of 2 :
Express 25 as the sum of odd numbers.
We know that sum of n consecutive odd numbers = n²
Now 25 = 5²
So 25 can be expressed as the sum of first five consecutive odd numbers
First 5 odd numbers are 1 , 3 , 5 , 7 , 9
Hence we can conclude that
25 = 1 + 3 + 5 + 7 + 9
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