True or false? aₙ₊₁ = 2aₙ₋₁ is a one-step recurrence relation. true or false? the recurrence relationaₙ = 4aₙ₋₁ + 5aₙ₋₂ for all n ≥ 2has exactly one solution (one and only one) for each ordered pair (a₀, a₁) of initial conditions .in other words, if s is the set of all sequences that satisfy the recurrence, the functionf: ℝ × ℝ → s; f(a, b) = the sequence {aₙ} ∈ s with a₀=a, a₁=bis well-defined, and a bijection.

Write a car class having two private member variables called tank and speed. write public methods called pumpgas and gofast. the method pumpgas gets an integer for gas that must be pumped. that value needs to be added to tank (no more than 20 gallons). it must return the amount of gas that is purchased ($4 per gallon). the method gofast should increase the speed by 5 each time it is called. write a constructor for the above class that initialized both variables to zero. write a tostring to display both the tank and speed when the car is printed. modify the car class to implement the interface comparable and an interface called carinter having the public methods in carinter. write the main program to create an array of size 5 of type car. create 5 car objects having each location of the array to refer to one of the cars. test the pumpgas, gofast, equals method on the array items. write an enhanced loop to print all the car values (using a tostring written last time).write a generic method to find the minimum of four items. pass int, double, char, string and car objects to test this method.

Jason works as an accountant in a department store. he needs to keep a daily record of all the invoices issued by the store. which file naming convention would him the most? a)give the file a unique name b)name the file in yymmdd format c)use descriptive name while naming the files d)use capital letters while naming the file

Which finger presses the h key on the keyboard? index finger on the left hand pinky finger on the right hand index finger on the right hand thumb on the left hand