Question

What is the function that defines the following sequence? 10, 12, 14, 16, 18…..

A. an = 12 – 2n
B. an = 10n
C. an = 8 + 2n
D. an = 2 + 8n

Answer 1

The function that defines the sequence 10, 12, 14, 16, 18 is an = 8 + 2n.

Step-by-step explanation:

The function that defines the given sequence 10, 12, 14, 16, 18 is represented by option C:

an = 8 + 2n

This means that each term in the sequence can be obtained by adding 8 to twice the value of the position of the term.

For example, if we substitute n = 1 into the function, we get a1 = 8 + 2(1) = 8 + 2 = 10, which is the first term of the given sequence.