## Sub-Boards Q6

A model for the number of lobsters caught per year is based on the assumption that the number of lobsters caught in a year is the average of the number caught in the previous two years.
a) Find a recurrence relation for {Ln} where Ln is the number of lobsters caught in year n, under the assumption of this model.
b) Find Ln if 100,000 lobsters were caught in year 1 and 200,000 lobsters were caught in year 2.

by vsiap
Nov 15, 2014 3:38:56 GMT Q9

The Lucas numbers satisfy the recurrence relation
L_n = L_(n−1) + L_(n−2), and the initial conditions L_0 = 2 and L_1 = 1.
a) Show that L_n = f_(n−1) +f_(n+1) for n = 2,3,..., where f_n is the nth Fibonacci number.
b) Find an explicit formula for the Lucas numbers.

0 0 No posts have been made on this board. Q14

Solve the recurrence relation a_n = 6a_(n−1) − 12a_(n−2) + 8a_(n−3) with a_0 = −5, a_1 =4 and a_2 =88.

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by hauquattliflacom
Sept 25, 2020 6:45:40 GMT Q15

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# Section 8.2

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## Board Information & Statistics Section 8.2 açıklama   