Question

What is the recursive formula for this arithmetic sequence?
-7, -1, 5, 11, ...

Answer 1

Answer:

The answer is A

Step-by-step explanation:

why it is a is...

the first like is the # your arithmetic sentence starts with which is -1

the second line is what you do to get to the next #

each time you are adding 6

Answer 2

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is A.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

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

Also, the recursive formula for any arithmetic series is given by the formula,

$a_n = a_{(n-1)} + d$

Or, it can be also written as,

$a_{(n+1)} = a_{n} + d$

where d is the difference and a₁ is the first term of the sequence.

For the given arithmetic sequence, the common difference can be written as,

Common difference = -1 - (-7)

                                  = -1 + 7

                                  = 6

Now, the recursive formula for this arithmetic sequence can be written as,

$a_n = a_{(n-1)} + 6$

Also, the first term of the given arithmetic series is -7.

a₁ = -7

Hence, the correct option is A.

Learn more about Arithmetic Sequence:

https://brainly.com/question/3702506

#SPJ5