Question

Given the sequence an = 19 + 2(n-1), find the expression for the nth term.

A. an = 19 + 2n

B. an = 2n

C. an = 17 + 2n

D. an = 21 + 2n

Answer 1

The expression for the nth term of the sequence is an = 19 + 2(n-1).

Step-by-step explanation:

The expression for the nth term of the sequence is an = 19 + 2(n-1). To find the expression, you start with the first term which is 19, and then add 2 times the difference between each term and the first term. So if you have the 5th term, you substitute n with 5 in the expression. It becomes: a5 = 19 + 2(5-1) = 19 + 8 = 27. Therefore, the correct answer is an = 19 + 2(n-1).