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Common Difference

The nth term ...

Question

The nth term of an AP is (3n + 5). Find its common difference.

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Solution

We are given, $a_{n} = 3 n + 5$

So, $a_{1} = 3 (1) + 5 = 8$

and, $a_{2} = 3 (2) + 5 = 6 + 5 = 11$

so common difference, $d = a_{2} - a_{1} = 11 - 8 = 3$

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