Please help - will give you medal (: The following function defines a recursive sequence: f(0) = -5 f(1) = 20 f(n) = -4•f(n -1) - 3•f(n - 2); for n > 1 Which of the following sequences is defined by this recursive function? (4 points)
Really will appreciate it (:
@cwrw238
have you got a list of sequences?
These are the answer choices: -5, -20, -65, -200, … -5, 20, -92, 372, … -5, -24, -92, -372, … -5, 20, -65, 200, …
idk why there are question marks just ignore them @cwrw238 thanks :)
well plug in the value of 2 for n in the formula for f(n) and see what you get - this will give you the thrd term in the sequence ( after 20)
then n = 3 for 4th term
what terms do the (n-1) and (n-2) refer to when n = 2?
well if n=2 then the 'n' in those equations will be 2
right so (2-1) = which term?
n? sorry I am a little confused, these aren't my strong suits
2-1 = 1 of course and this refers to f(1) which = 20 so which term does (n-2) refer to?
n-2 = 2-2 which refers to f(0) which = -5 so these 2 numbers replace (n-1) and (n-2) in the formula
oh okay I see... @cwrw238 so how would you do that to get the next numbers for the sequence?
Join our real-time social learning platform and learn together with your friends!