Define an arithmetic progression.

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Solution

An arithmetic progression is a sequence of terms such that the difference between any two consecutive terms of the sequence is always same.

Suppose we have a sequence

So, if these terms are in A.P., then,

And so on…

Here, d is the common difference of the A.P.

Example: 1, 3, 5, 7, 9 … is an A.P. with common difference (d) as 2.

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An arithmetic progression is defined as a sequence of numbers with a constant difference between consecutive terms.

S_{n}

S_{n} = 4 n^{2} - 3 n

n

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