Question

How to calculate the sum of n terms of an ap??? ​

Answer 1

$\underline{\boxed{\bf{Arithmetic \: Progression}}}$
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In a sequence, if the difference between two consecutive terms is same then the sequence is known as an A.P.
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The first term is known as " a " .

The common difference is known as " d " .

The 'nth term' is given by : $\Large\sf\red{\underline{\fbox{\green{a_n = [a + (n - 1)d]}}}}$

The sum of 'n' terms is given by : $\Large\sf\red{\underline{\fbox{\green{S_n = \frac{n}{2} [2a + (n - 1)d]}}}}$
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Answer 2

$\huge\underline\mathbb{\red S\pink {O}\purple {L} \blue {UT} \orange {I}\green {ON :}}$

N/2 × ( a + Nth term)

N/2 × ( a + a + (n-1)d)

N/2 × (a + l)

Where

N = number of terms

A= first term

l = last term

d = common difference

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