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What is the nth term of an AP 9, 13, 17, 21, 25, …?

Question

What is the nth term of an AP 9, 13, 17, 21, 25, …?

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Solution

The nth term of an arithmetic progression (AP) can be found using the formula:

nth term = a + (n-1) * d

where: a = first term of the AP d = common difference of the AP n = position of the term in the sequence

In this case, the first term (a) is 9 and the common difference (d) is 4 (13 - 9 = 4).

So, the nth term of the AP 9, 13, 17, 21, 25, … is:

nth term = 9 + (n-1) * 4

This simplifies to:

nth term = 9 + 4n - 4

So, the nth term of the AP is:

nth term = 4n + 5

This problem has been solved

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