Question

Use the given terms of the sequence to answer the question.
a1=10
a2=6
a3=2
a4=−2

Which recursive formula represents the sequence?

A. a1=10
an=an−1+4

B. a1=10
an=an−1−4

C. a1=10
an=an−1+10

D. a1=10
an=an−1−10

Answer 1

Answer:

B.

Step-by-step explanation:

Each term is equal to the one before it minus 4. This is represented in "A-sub-N equals A-sub-N-minus-1 plus four," or an = an-1 + 4

"an" is the current term you're on, such as a1, a2, etc.

"a1" is where your sequence starts.

Say we want to fin a5. "an-1" in this case equals "a4" or -2. we then take that number and subtract the 4 in the equation, resulting in a5 = -6.

I hope this all makes sense.

-Lacy