Show that F0F1 . . . Fn−1 = Fn − 2 for all n ≥ 1, where Fi is the i-th fermat number

Define the Fibonacci numbers as Fo= 0, F₁ = 1 and for n ≥ 2, set Fn = Fn-1+Fn-2. Show that Fn+1Fn-1 − F2 = (-1)" for n ≥ 1 and use this to deduce that gcd(Fn, Fn-1) = 1 for all n ≥ 1.

for Q1. a.  howd you get k=3 from the j <- 1 to n^2 statement? shouldn't it be k=2?

(b) Let J₁ 100] 0100 001 1000 and J₂ = Explain whether J₁ and J₂ are similar. t000] 010 0011 000 1

The table gives the number of books sold N(t) for a new novel t weeks after release at a certain book store.

Suppose that the inventory of a certain item t months after the first of the year is given approximately by I(t) = 10 + 36t - 3t2, 0 ≤ t ≤ 12 What is the average inventory for the last quarter of the year? Answer: The average is                items

C. Find k such that P(k< T< 2.947) = 0.845 when T~t15

Evaluate o(m) for m=1 to 12.

|| || = 1 NN N/10 1+ + x+y 11 AN