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, …?
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
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