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What is the sum of the first 25 odd numbers starting from 1?

Published in Number Series Summation 1 min read

The sum of the first 25 odd numbers starting from 1 is 625.

Understanding the Sum of Odd Numbers

The sum of the first n odd numbers is equal to n2. This is a well-known mathematical property. Therefore, to find the sum of the first 25 odd numbers, we simply need to calculate 252.

Calculation

252 = 25 * 25 = 625

Reference Confirmation

According to a previous calculation, the number series 1, 3, 5, 7, 9, . . . . , 49 shows that 625 is indeed the sum of the first 25 odd numbers (as stated on 15-Jul-2020).

Table Summary

Number of Odd Numbers Sum
25 625

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