Calculating the Division Result for Sum of Odd Numbers
The question asks for the result when the sum of the first 20 consecutive positive odd numbers is divided by $20^2$.
Sum of First n Odd Numbers
There's a known formula for the sum of the first 'n' positive odd numbers:
Sum $= n^2$
Applying the Formula
In this case, we need the sum of the first 20 positive odd numbers, so $n=20$.
- Sum of the first 20 odd numbers $= 20^2$
- Sum $= 400$
Performing the Division
The question requires dividing this sum by $20^2$.
- Division required $= \frac{\text{Sum of first 20 odd numbers}}{20^2}$
- $= \frac{20^2}{20^2}$
- $= \frac{400}{400}$
- $= 1$
Therefore, the result is 1.
Important Questions from Number Series
Select the number from among the given options that can replace the question mark (?) in the following series.
37, 52, 74, 104, 143, ?
Select the number that can replace the question mark (?) in the following series.
17, 19, 22, 27, 34, 45, 58,?Select the number from among the given options that can replace the question mark (?) in the following series.
10, 14, 31, 35, 73, 77, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
215, 231, 256, 292, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6, 6, 8, 24, 28, 140, ?
