Question

Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? check all that apply. f(n) = –6.5n 14.5 f(n) = –1.5n 9.5 f(n) = 6.5n 1.5 f(1) = 8, f(n 1) = f(n) – 6.5 f(1) = 8, f(n 1) = f(n) – 1.5 f(1) = 8, f(n 1) = f(n) 6.5

Answer 1

The function that represents the arithmetic sequence 8, 1.5, –5, –11.5 is given by:

f(n) = f(n - 1) - 6.5, f(1) = 8.

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

$a_n = a_1 + (n - 1)d$

In which $a_1$ is the first term.

The sequence can also be represented by a recursive function, as follows:

$f(n) = f(n - 1) + q, f(1) = a_1$

In this problem, the first term is of 8, while the common ratio is of q = -6.5, hence the function is:

f(n) = f(n - 1) - 6.5, f(1) = 8.

More can be learned about arithmetic sequences at brainly.com/question/23842987

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