A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence?
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
A. f(1)=2 and f(n) = f(n-1)+4; n>1
B. f(1) =4 and f(n) = f(n-1)+2n; n>1
C. f(1) =2 and f(n) = f(n-1) +4n; n>1
D. f(1)=4 and f(n) = f(n-1) + 2; n >1
If you could please explain how to get the answer that would be a big help because I have no idea where to even start.
f(1) is the first term, so f(1) = 4.
The nth term is f(n), so the previous term would be f(n-1). For example, n = 6 for the sixth term, which is f(6). The term before that is the fifth term, f(5), which is the same as f(6 - 1).
To get each f(n) you need to add 2 to f(n - 1), so
f(n) = f(n -1) + 2