Choose the correct alternative answer for the following question . What is the sum of the first 30 natural numbers ?

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KollegeApply · Accepted Answer

The given series is 1 + 2 + 3 + ... + 30 Here, a = 1 d = 1 n = 30 S_n = n/2\left( 2a + \left( n - 1 \right)d \right) S_{30} = $\frac{30}{2}$\left( 2a + \left( 30 - 1 \right)d \right) = $\frac{30}{2}$\left( 2\left( 1 \right) + 29\left( 1 \right) \right) = 15\left( 2 + 29 \right) = 15 $\times$ 31 = 465

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