EBK C HOW TO PROGRAM
8th Edition
ISBN: 9780133964639
Author: Deitel
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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Textbook Question
Chapter 1, Problem 1.5E
Fill in the blanks in each of the following statements:
- The logical unit that receives information from outside the computer for use by the computer is the _____ .
- The process of instructing the computer to solve a problem is called _____ .
- ______ is a type of computer language that uses Englishlike abbreviations for machine-language instructions.
- ______ is a logical unit that sends information which has already been processed by the computer to various devices so that it may be used outside the computer.
- _____ and _____ are logical units of the computer that retain information.
- _____ is a logical unit of the computer that performs calculations.
- _____ is a logical unit of the computer that makes logical decisions.
- ______ languages are most convenient to the programmer for writing
programs quickly and easily. - The only language a computer can directly understand is that computer’s _____.
- The ______ is a logical unit of the computer that coordinates the activities of all the other logical units.
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By dragging statements from the left column to the right column below, give a proof by induction of the following statement:
an
=
= 9" - 1 is a solution to the recurrence relation an = 9an-18 with ao
=
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The correct proof will use 8 of the statements below.
Statements to choose from:
Note that a₁ =
9a0 + 8.
Now assume that P(n) is true for all n ≥ 0.
Your Proof: Put chosen statements in order in this
column and press the Submit Answers button.
Let P(n) be the predicate, "a = 9″ – 1".
απ = 90 − 1 =
Note that
Let P(n) be the predicate, "an
9" - 1 is a
solution to the recurrence relation an = 9an-1 +8
with ao = 0."
-
Now assume that P(k + 1) is true.
Thus P(k) is true for all k.
Thus P(k+1) is true.
Then ak+1
=
9ak +8, so P(k + 1) is true.
= 1 − 1 = 0, as required.
Then = 9k — 1.
ak
Now assume that P(k) is true for an arbitrary
integer k ≥ 1.
By the recurrence relation, we have
ak+1 =
ak+1 =
= 9ak + 8 = 9(9k − 1) + 8
This simplifies to
9k+19+8 = 9k+1 − 1
Then 9k+1 − 1 = 9(9*…
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