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What is a formula for the nth term of the given sequence? 13, 15, 17...​

User Codahk
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Answer: The nth term of the sequence is given by the formula 2n + 11

Explanation:

The given sequence is an arithmetic sequence because the difference between each pair of consecutive terms is the same. In this case, the common difference is 2, because:

15 - 13 = 2

17 - 15 = 2

and so on

The formula for the nth term of an arithmetic sequence is:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

For this sequence, the first term (a1) is 13 and the common difference (d) is 2. Therefore, the formula for the nth term is:

an = 13 + (n-1)2

Simplifying this expression, we get:

an = 2n + 11

User Dsan
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