The Fibonacci numbers are defined as follows. f1 = f2 = 1 and, for n ≥ 3, fn = f(n1) + f(n - 2). The Fibonacci numbers with four or fewer digits are: f1 = 1, f2 = 1, f3 = 2, f4 = 3, f5 = 5, f6 = 8, f7 = 13, f8 = 21, f9 = 34, f10 = 55, f11 = 89, f12 = 144, f13 = 233, f14 = 377, f15 = 610, f16 = 987, f17 = 1597, f18 = 2584, f19 = 4181, and f20 = 6765. Prove that the Fibonacci number f3 n is even.

Asif spent $745.10 on 13 new file cabinets for his office. small file cabinets cost $43.50 and large file cabinets cost $65.95. write and solve a system of equations to find the number of small cabinets and large cabinets he purchased. determine if each statement is true or false. 1. he purchased 5 small cabinets. true or false 2. he purchased 7 large cabinets. true or false 3. he spent $527.60 on large cabinets. true or false

You are shooting hoops after school and make 152 out of a total of 200. what percent of shots did you make? what percent did you miss? show proportion(s).

A50% increase followed by 33 1/2% decrease