Which function below represents the arithmetic sequence 3, 7, 11, 15 ... ?. f (n) = 4 + 3 (n - 1). f (n) = 4 + 3n. f (n) = 3 + 4n. f (n) = 3 + 4 (n - 1)

Question

Mathematics

Kyler Kramer

11 April, 01:48

Which function below represents the arithmetic sequence 3, 7, 11, 15 ... ?. f (n) = 4 + 3 (n - 1). f (n) = 4 + 3n. f (n) = 3 + 4n. f (n) = 3 + 4 (n - 1)

+2

Answers (1)

Know the Answer?

Jace Charles · Answer 1

The given above is an arithmetic sequence with first term equal to 3 and the common difference equal to 4. That is from 7 - 3 = 11 - 7 = 15 - 11. The nth term of an arithmetic sequence is given by the equation,

an = a1 + (n - 1) x d

Substituting the given,

an = 3 + 4 (n - 1)

thus, the answer is the fourth choice.