The odd numbers are the numbers in the sequence 1,3,5,7,9,.... Define the sequence of S-numbers as follows: The first S-number is 1 The second S - number is the sum of the first S-number and the second odd number The third s-number is the sum of the second S- number and the third odd number. The fourth S- number is the sum of the third S-number and the fourth odd number, Etc..,... Compute the first seven S- numbers. Make a note of any patterns you notice. Enter the first seven S- numbers as a comma-separated list: First seven S-numbers =

The odd numbers are the numbers in the sequence 1,3,5,7,9,.... Define the sequence of S-numbers as follows: The first S-number is 1 The second S - number is the sum of the first S-number and the second odd number The third s-number is the sum of the second S- number and the third odd number. The fourth S- number is the sum of the third S-number and the fourth odd number, Etc..,... Compute the first seven S- numbers. Make a note of any patterns you notice. Enter the first seven S- numbers as a comma-separated list: First seven S-numbers =

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section: Chapter Questions

Problem 15PP: (Computation) A magic square is a square of numbers with N rows and N columns, in which each integer...

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(Computation) A magic square is a square of numbers with N rows and N columns, in which each integer value from 1 to (N * N) appears exactly once, and the sum of each column, each row, and each diagonal is the same value. For example, Figure 7.21 shows a magic square in which N=3, and the sum of the rows, columns, and diagonals is 15. Write a program that constructs and displays a magic square for a given odd number N. This is the algorithm:
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…
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On the planet Tatooine, droids do computations in base-6. What is the greatest base-6 number with three different digits? (Your base-6 number must have a separate digit for each digit.) Make a decimal out of your answer (base-10).
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non - zero number called the common ratio. For example, the sequences 2, 6, 18, . ... 3, 15, 75 , …. are a geometric sequences with common ratios 3 and 5 respectively. A geometric sequence is generally characterized by three numbers, the first term ‘ a’, the common ratio ‘ r’ and the number of terms ‘ n’. A geometric series is the sum of numbers in a geometric sequence. 2+ 6+ 18 and 3+ 15+ 75 are examples of geometric series with three terms each. The nth term of a geometric series with initial value ‘ a’ and common ratio ‘ r’ is given by: ?? = ???−1. While the sum of a geometric series is given by: ?(1-??−1) / 1-??−1 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 ‘!’ operator (using a friend function)…
Write in symbolic form:For all integers x,there exists an integer y such that the sum of x and y equals 0.Write in symbolic form:
Python Starting with the right-most digit and moving to the left, determine the sum of every alternating digit. For the credit card “4833 1200 3412 3456”, we would sum 6 + 4 + 2 + 4 + 0 + 2 + 3 + 8 = 29. Double each of the digits not included in the previous step and then add all of the digits of the resulting numbers. For example, with the number given in step 1, doubling the digits, starting with the second-to-last one, yields 10 6 2 6 0 2 6 8. Adding all of the digits in these values yields 1 + 0 + 6 + 2 + 6 + 0 + 2 + 6 + 8 = 31. Add the sums of the two preceding steps. If the last digit of the result is zero (i.e., it is divisible by 10), the number is valid. In our case, 29 + 31 = 60, so the credit card number is valid. Example Execution #1 Input a credit card number to check its validity.NUMBER> 6 0 1 1 624 9 8671 7892 7 8 9 9Sum 1: 46Sum 2: 56Overall Sum: 102The credit card number is invalid.OUTPUT InvalidThe correct check digit is 7.OUTPUT 7 Example Execution #2…
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The equation of a line in standard form is ax + by = c , wherein both aand b cannot be zero, and a, b, and c are real numbers. If b≠0, then –a/b is the slope of the line. If a = 0, then it is a horizontal line, and if b = 0, then it is a vertical line. The slope of a vertical line is undefined. Two lines are parallel if they have the same slope or both are vertical lines. Two lines are perpendicular if either one of the lines is horizontal and the other is vertical or the product of their slopes is –1. Design the class lineType to store a line. To store a line, you need to store the values of a (coefficient of x), b (coefficient of y), and c. Your class must contain the following operations: If a line is nonvertical, then determine its slope. Determine if two lines are equal. (Two lines a₁x + b₁y = c₁ and a₂x + b₂y = c₂ are equal if either a₁ = a₂, b₁ = b₂, and c₁ = c₂, or a₁ = ka₂, b₁ = kb₂ and c₁ = kc₂, and for some real number k.) Determine if two lines are parallel. Determine if…
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Please answer it in Python Suppose we play a game where each round takes place in the following way: first, we roll a dice, and its result gives the number of points at stake. Then, the player can, if he wishes, trigger his bonus "double account" or his bonus "triple account". Then, the player answers a number of questions, and calculates his percentage of correct answers. The points awarded to the player for that round are then calculated based on the percentage of correct answers and the number of points in play rounded to the nearest integer (for example, with 50% correct answers and 6 points in play, the player gets 3 points; with 45% correct answers and 8 points in play, the player gets 4 points). Finally, this number of points is possibly multiplied by two or three if the corresponding bonus has been used. Write a function points_match that takes as an argument the percentage, the number of points at stake, and as an optional argument the multiplier (which is worth 2 in a double…