What is the recursive rule for the following sequence: -5, -3, -1, 1…?

A. an = an n-1 - 5
B. an = an n-1 - 2
C. an = an n-1 + 2
D. an = an n-1 + 5

To find the recursive rule for a given sequence, we need to understand the pattern or relationship between the terms in the sequence. In this case, we can observe that each term is obtained by adding 2 to the previous term.

Starting with the first term, -5, we can write the recursive rule as:

an = an-1 + 2

where 'an' represents the nth term of the sequence, 'an-1' represents the previous term (n-1), and 2 is added to the previous term to obtain the current term.

Therefore, the correct answer is option C:

an = an-1 + 2

To find the recursive rule for the given sequence: -5, -3, -1, 1..., we need to identify the pattern in the sequence.

Looking at the numbers in the sequence, we notice that each term increases by 2:

-5 + 2 = -3,
-3 + 2 = -1,
-1 + 2 = 1,

So, the recursive rule for this sequence is an = an-1 + 2.

Therefore, the correct answer is C. an = an-1 + 2.

And you keep changing your screen name because ... ?

Don't you know you give yourself away by your repeated misspelling of "algebra"?