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

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

Explanation:

Answer 2

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

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)`