Question

Find an explicit formula for the arithmetic sequence −11,−3,5,13,...−11,−3,5,13,...Minus, 11, comma, minus, 3, comma, 5, comma, 13, comma, point, point, point.

Answer 1

Answer:

The explicit formula for the arithmetic sequence $-11,-3,5,13,...$ is $d(n)=-11+8(n-1)$.

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant.

In general, this is the standard explicit formula of an arithmetic sequence whose first term is A and common difference is B.

                                          $d(n)=A+B(n-1)$

We have the following arithmetic sequence $-11,-3,5,13,...$

The first term is -11

The common difference is 8

$-3-(-11)=8\\5-(-3)=8\\13-5=8$

Therefore,

$d(n)=-11+8(n-1)$

Answer 2

Answer:

b(n) = -11 + 8(n-1)

Step-by-step explanation: