Calculate the Sum of the First 30 Odd Natural Numbers using the Arithmetic Series Formula

Find sum of first 30 odd natural numbers ( 1+3+…+59)

To find the sum of the first 30 odd natural numbers, we can use the formula for the sum of an arithmetic series

To find the sum of the first 30 odd natural numbers, we can use the formula for the sum of an arithmetic series.

The formula for finding the sum of an arithmetic series is:

Sn = (n/2)(a1 + an)

Where Sn is the sum of the series, n is the number of terms, a1 is the first term, and an is the last term.

In this case, the first term is 1 and the last term is 59. Since these are odd numbers, the terms are increasing by 2 each time.

So, we can rewrite the sum as:

Sn = (30/2)(1 + 59)

Simplifying this equation, we have:

Sn = 15 * 60 = 900

Therefore, the sum of the first 30 odd natural numbers (1+3+…+59) is 900.

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