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

Caylee

17 March, 01:08

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)

+3

Answers (1)

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Oneill · 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.