Question

14)

Which function describes the arithmetic sequence shown?
7,9, 11, 13, 15, 17,
A)
f(x) = 2x - 5


B)
f(x) = 5x - 2

C)
f(x) = 2x + 5
D)
f(x) = 5x + 2

Answer 1

f(x) = 2x+5

Explanation:

Given the arithmetic sequence shown

7,9, 11, 13, 15, 17,

THe nth term of the sequence is expressed as;

Tn = a + (n-1)d

a is the first term = 7

d is the common difference = 9-7 = 11-9 = 2

Substitute

Tn = 7 + (n -1)*2

Tn = 7 + 2n - 2

Tn = 2n + 5

Hence the required function is f(x) = 2x+5