Consider a Double Tower of Hanoi. In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Assume one of the poles initially contains all of the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let an be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another. (a) Find a1, a2, and a3.
(b) Derive a recurrence relation for the sequence a1, a2, and a3 and check that the results in (a) satisfy your recurrence relation.
(c) Show that the formula an = 2n+1 - 2 for the nth term in the sequence satisfies the recurrence relation you derived in (b).

Acomputer is a multipurpose device that accepts input, processes data, stores data, and produces output, all according to a series of stored . the processing unit of most modern computers is a(n) . the instructions that tell a computer how to carry out a task are referred to as computer , which are distributed as software. computers run three main types of software: software, system software, and development tools. an example of system software is a computer system, which is essentially the master controller for all the activities that a digital device performs. digital devices are constructed using tiny electronic components that represent data bits as electrical signals. the system unit houses the system board, which contains several circuits made from semiconducting materials. computers come in three popular form factors: component, , and slate. many of today's digital devices operate on battery power supplied by ion batteries. battery life and lifespan can be extended by following good battery management practices.

Write the html code to make a link out of the text “all about puppies”. it should link to a pdf called “puppies. pdf” inside the “documents” folder. the pdf should open in a new window.

Janice usually works on a particular workbook that contains all business related data. she decides to keep a backup of all the data in a separate workbook. she opens a new workbook to transfer the data. which option should she use to copy all the data from one workbook to another workbook?