C++ PROGRAM A geometric sequence is a sequence of numbers where each term after the firstis found by multiplying the previous one by a fixed, non - zero numbercalled the common ratio. For example, the sequences2, 6, 18, ....3, 15, 75, ..are a geometric sequences with common ratios 3 and 5 respectively. A geometricsequence is generally characterized by three numbers, the first term 'a', thecommon ratio 'r' and the number of terms 'n’. A geometric series is the sum ofnumbers in a geometric sequence. 2+ 6+ 18 and 3+ 15+ 75 are examples of geometricseries with three terms each.The nth term of a geometric series with initial value 'a' and common ratio 'ris given by: a, = arn-1, While the sum of a geometric series is given by:a(1 – r")1- rnCreate a class Geometric Series to model a Geometric series. Using friend function,overload the * operator to find the nth term of the series. Likewise, overloadthe P operator (using a friend function) to find the sum of a Geometric series.Provide a function display() in the class to display the geometric series. Sampleoutput of the program should be like the following.Sample ProgramOutputGeometricSeries series (1,2,4);Nth term is: 8cout<<"Nth term is: "<<"series<

The friend function: friend function is a special function of a class and it can access the private…

Create a class Geometric Series to model a Geometric series. Using friend function, overload the ~' operator to find the nth term of the series. Likewise, overload the T' operator (using a friend function) to find the sum of a Geometric series. Provide a function display() in the class to display the geometric series. Sample output of the program should be like the following.

Create a class Geometric Series to model a Geometric series. Using friend function, overload the ~' operator to find the nth term of the series. Likewise, overload the T' operator (using a friend function) to find the sum of a Geometric series. Provide a function display() in the class to display the geometric series. Sample output of the program should be like the following.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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A geometric sequence is a sequence of numbers where each term after the first isfound by multiplying the previous one by a fixed, non -zero number calledthe common ratio. For example, the sequences2, 6, 18, ....3,15,75, ….are a geometric sequences with common ratios 3 and 5 respectively. A geometricsequence is generally characterized by three numbers, the first term ‘a’, thecommon ratio ‘r’ and the number of terms ‘n’. A geometric series is the sum ofnumbers in a geometric sequence. 2+6+18 and 3+15+75 are examples of geometricseries with three terms each.The nth term of a geometric series with initial value ‘a’ and common ratio ‘r’ isgiven by: ?? = ???-1. While the sum of a geometric series is given by:?(1 - ??)1 - ?Create a class GeometricSeries to model a Geometric series. Using friend function,overload the ‘~’ operator to find the nth term of the series. Likewise, overload the‘!’ operator (using a friend function) to find the sum of a Geometric series.Provide a function display() in…
subject theory of computer science Given the language, L = {abb, aabb, babb, aaabb, ababb, …………..}, which of the following is the correct the regular expression that can represent L. A.(a+b)*ab B.(aa)*(bb)*b C.(a*ba*) D.(a+b)*abb
2. Telephone-Number Word Generator (50) o Standard telephone keypads contain the digits 0-9. The numbers 2-9 each have three letters associated with them, as is indicated by the following table: Digit Letter Digit Letter 2 A B C 6. M N O DE F 7 PR S 4 GH I 8 TU V 5 J KL 9. W X Y o Many people find it difficult to memorize phone numbers, so they use the correspondence between digits and letters to develop seven-letter words that correspond to their phone numbers. o For example, a person whose telephone number is 686-2377 might use the correspondence indicated in the above table to develop the seven-letter word "NUMBERS." Businesses frequently attempt to get telephone numbers that are easy for their clients to remember. If a business can advertise a simple word for its customers to dial, then, no doubt, the business will receive a few more calls. Each seven-letter word corresponds to exactly one seven-digit telephone number. The restaurant wishing to increase its take-home business could…
Exercise 1.A set W of strings of symbols is defined recursively by a, b, and d belong to W. If x belongs to W, so does a(x)d. Provide 3 strings made of 3 letters each belonging to W and show the procedure used to obtain them. Provide 3 strings made of at least 5 letters each belonging to W and show the procedure used to obtain them.
Algorithm to find palindromes of all length in 50 million Pl digits of random number and calculate the mean of the distance in C language. The length starts from 2 and increases until no palindrome of certain length is found. The distance of the palindrome refers to the number of digits between the first digit of palindrome 1 and the first digit of palindrome 2.
5. Lemniscate or figure 8 You should have learned lemniscate or the famous figure 8 in high school as well. The following is a snip from Wikipedia. Lemniscate of Bernoulli From Wikipedia, the free encyclopedia In geometry, the lemniscate of Bernoulli is a plane curve defined from two given points F1 and F2, known as foci, at distance 2c from each other as the locus of points P so that PF₁·PF₂ = c². The curve has a shape similar to the numeral 8 and to the ∞ symbol. Its name is F2 P A lemniscate of Bernoulli and its two foci F₁ and F2 Figure 8. Write a computer program (with graphics and GUI parts) that draws the figure 8. Show your analysis if applicable (which means any equation?). 9
The Problem A Zeckendorf number is defined for all positive integers as the number of Fibonacci numbers which must be added to equal a given number k. So, the positive integer 28 is the sum of three Fibonacci numbers (21, 5, and 2), so the Zeckendorf number for k = 28 is three. Wikipedia is a satisfactory reference for our purposes for more details of the Zeckendorf and Fibonacci numbers. In both cases, you do not need to read the entire Wikipedia entry. Your assignment is to write two ARM assembly language functions which calculate Zeckendorf and Fibonacci numbers. Zeck function The first function, which should be named zeck, receives an integer parameter in register zero. This will be the variable k we discussed above. Your code should return the Zeckendorf number for k in register zero when complete. If the parameter k is zero, return zero. If the parameter k is negative, return minus 1. If the parameter k is too large to calculate, return minus 1. Fib function The other function,…
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asnwer the following.
I am what you call a perfectionist. I always strive for perfection, and I appreciate everyone and everything that is perfect. That is why I have recently acquired an appreciation for perfect numbers! I absolutely need to know which numbers from 1 to 1000 are considered perfect. From what I recall, a perfect number is a positive integer that is equal to the sum of all its divisors other than itself. Example: 6 is a perfect number because the divisors of 6 other than itself are 1, 2, and 3, and 1 + 2 + 3 = 6. c++ code
asnwer a and b only.
a. Correctness of dynamic programming algorithm: Usually, a dynamic programming algorithm can be seen as a recursion and proof by induction is one of the easiest way to show its correctness. The structure of a proof by strong induction for one variable, say n, contains three parts. First, we define the Proposition P(n) that we want to prove for the variable n. Next, we show that the proposition holds for Base case(s), such as n = 0, 1, . . . etc. Finally, in the Inductive step, we assume that P(n) holds for any value of n strictly smaller than n' , then we prove that P(n') also holds. Use the proof by strong induction properly to show that the algorithm of the Knapsack problem above is correct. b. Bounded Knapsack Problem: Let us consider a similar problem, in which each item i has ci > 0 copies (ci is an integer). Thus, xi is no longer a binary value, but a non-negative integer at most equal to ci , 0 ≤ xi ≤ ci . Modify the dynamic programming algorithm seen at class for this…