Maharashtra BoardEnglish MediumSTD 10MathsArithmetic Progression3 Marks
Question
Find the sum of all odd numbers between 0 and 50.
✓
Answer
Odd numbers between 0 to 50 are
1, 3, 5, 7, ....., 49
Here
First term = a = 1
last term = l = 49
There are 25 such terms
So, n = 25
We need to find sum
So, we can use formula
$\text{S}_\text{n}=\frac{\text{n}}{2}(\text{a}+\text{l})$
Putting value in the formula
$\text{S}_\text{n}=\frac{\text{n}}{2}(\text{a}+\text{l})$
$=\frac{25}{2}(1+49)$
$=\frac{25}{2}\times50$
$=625$
Therefore, the sum of odd number between 0 & 50 is 625.
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