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Question

What is the nth term of the sequence 1,5,9,13,17?


A

2n-1

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B

2n+1

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C

4n-3

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D

none of these

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Solution

The correct option is C

4n-3


Determine nth term of the sequence 1,5,9,13,17?

Explanation for correct option:

Option C.

The given sequence is 1,5,9,13,17.

Find the common difference:

5-1=49-5=413-9=417-13=4

Thus, the common difference is 4.

Since the common difference is 4, the given series is an arithmetic progression.

Thus, apply the formula: an=a1+n-1d, where d is the common difference and a1 is the first term.

The first term in the given series is 1, so a1=1.

Substitute d=4anda1=1 into the formula to find the nth term of the given sequence:

an=1+n-14an=1+4n-4an=4n-3

Hence, the correct option is option (C).


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