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anonymous
 one year ago
Generate the first 5 terms of this sequence:
f(1) = 2 and f(2) = 3, f(n) = f(n  1) + f(n  2), for n > 2.
A. 2, 3, 5, 7, 9
B. 2, 3, 4, 7, 11
C. 2, 3, 5, 9, 11
D. 2, 3, 5, 8, 13
anonymous
 one year ago
Generate the first 5 terms of this sequence: f(1) = 2 and f(2) = 3, f(n) = f(n  1) + f(n  2), for n > 2. A. 2, 3, 5, 7, 9 B. 2, 3, 4, 7, 11 C. 2, 3, 5, 9, 11 D. 2, 3, 5, 8, 13

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SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so we got a fibonacci here

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0You are already given the first two terms, \(a_1=2\) \(a_2=3\) I am changing my notation, mam, if you don't mind.... (do you?)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i dont mind and thnx zupari :)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0You are given that: \(\large\color{black}{ \displaystyle a_n=a_{n1}+a_{n2} }\) (i.e. every Nth term is going to be equal (or given by) the sum of the 2 terms before it)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0So, we can use this for 3rd, 4th and 5th terms

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{black}{ \displaystyle a_3=a_{2}+a_{1}=3+2=5 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{black}{ \displaystyle a_4=a_{3}+a_{2}=5+3=8 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{black}{ \displaystyle a_5=a_{4}+a_{3}=8+5=13 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0lets look at it entirely. \(\large\color{black}{ \displaystyle 2,~3,~5,~8,~13 }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0So can see just by looking how every term (from 3rd term and on) has a value same as the sum of the 3 terms before it)
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