Question

Derive the formula do find the sum of 'n' 'n' terms.​

Answer 1

Answer:

The nth term can be derived using the formula a + (n-1)d, where a is the initial term, n is the numerical order in which the nth term appears, and d is the common difference between two consecutive terms.

Answer 2

Answer:

sum of n terms means sum of all natural numbers, and they are in A.P so we can use formula of sum of n terms of an A.P formula.

$s_{n} = \frac{n}{2} ( \: 2a + (n - 1)d \:) \\ \\ = \frac{n}{2} (2 \times 1 + (n - 1) \times 1) \\ \\ = \frac{n}{2} (2 + n - 1) \\ \\ = \frac{n(n + 1)}{2}$

Step-by-step explanation:

First term is 1 and difference is 1

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