Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.)5, 7, 9, 11, 13, . . .

The given sequence is an arithmetic sequence, where each term increases by a common difference. In this case, the common difference is 2 (7-5 = 2, 9-7 = 2, etc.).

The nth term of an arithmetic sequence can be found using the formula:

a_n = a_1 + (n-1)*d

where:

• a_n is the nth term
• a_1 is the first term
• d is the common difference
• n is the term number

For this sequence:

• a_1 = 5 (the first term)
• d = 2 (the common difference)

So, the nth term of the sequence is given by:

a_n = 5 + (n-1)*2

Simplifying this expression gives:

a_n = 3 + 2n

So, the apparent nth term of the sequence 5, 7, 9, 11, 13, . . . is 3 + 2n.