Finding the Sum of the First 30 Odd Natural Numbers Using 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, which are 1, 3, 5, 7, 9, 11, and so on, until 59, we can use the formula for the sum of an arithmetic series

To find the sum of the first 30 odd natural numbers, which are 1, 3, 5, 7, 9, 11, and so on, until 59, we can use the formula for the sum of an arithmetic series.

The formula for 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 (a1) is 1, the last term (an) is 59, and there are 30 terms (n).

Plugging the values into the formula, we have:
Sn = (30/2)(1 + 59)
Sn = 15(60)
Sn = 900

Therefore, the sum of the first 30 odd natural numbers is 900.

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