Find sum of first 30 odd natural numbers ( 1+3+…+59)
To find the sum of the first 30 odd natural numbers, we need to add up all the numbers from 1 to 59 that are odd
To find the sum of the first 30 odd natural numbers, we need to add up all the numbers from 1 to 59 that are odd.
1 + 3 + 5 + … + 57 + 59
Notice that these numbers form an arithmetic sequence with a common difference of 2. The formula to find the sum of an arithmetic sequence is:
Sn = (n/2)(2a + (n-1)d)
Where Sn is the sum of the arithmetic sequence, n is the number of terms, a is the first term, and d is the common difference.
In our case, n = 30 (since we want the sum of the first 30 odd numbers), a = 1 (the first odd number), and d = 2 (the common difference).
Sn = (30/2)(2(1) + (30-1)(2))
= 15(2 + 29(2))
= 15(2 + 58)
= 15(60)
= 900
Therefore, the sum of the first 30 odd natural numbers is 900.
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