Question

Which function below represents the arithmetic sequence 3, 7, 11, 15...?

a) f(n) = 4 + 3(n - 1)

b) f(n) = 4 + 3n

c) f(n) = 3 + 4n

d) f(n) = 3 + 4(n - 1)

Answer 1

its d

Explanation:

Answer 2

d) f(n) = 3 + 4(n-1)

3 = 1st term
4 = common difference among the terms
n = term number you are looking for.

To check: 3, 7, 11, 15, ...

f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15