Geometric Progression Printer As you might recall, a Geometric Progression (or GP) is a sequence of elements in which the next number in the sequence is obtained by multiplying the previous number by the common ratio. The next number in the sequence is obtained by using this formula: a_na_1*r(n-1) While the sum of all numbers in the sequence is obtained using any of these formulae: * If r 1, sum = a n If r = 1 and r> 1, sum = a[(rn - 1)/(r - 1)] If r != 1 and r < 1, sum = a[(1 - r )/(1-r)] where a n = next number in the sequence, a_1= first number in the sequence, r = common ratio, n = number of terms Your task is to write a Python program that 1. Accepts the necessary inputs from the user, i.e., start value (a_1), common ratio (r), and number of generate to generate (n). 2. Generates the Geometric Progression (GP) sequence starting from a_1 to n. 3. Prints out the GP HORIZONTALLY not VERTICALLY, e.g. 3, 9, 27, 81, 243, 729.... 4. Calculates the sum of all numbers in the GP sequence 5. Prints out the sum on the next line.
Geometric Progression Printer As you might recall, a Geometric Progression (or GP) is a sequence of elements in which the next number in the sequence is obtained by multiplying the previous number by the common ratio. The next number in the sequence is obtained by using this formula: a_na_1*r(n-1) While the sum of all numbers in the sequence is obtained using any of these formulae: * If r 1, sum = a n If r = 1 and r> 1, sum = a[(rn - 1)/(r - 1)] If r != 1 and r < 1, sum = a[(1 - r )/(1-r)] where a n = next number in the sequence, a_1= first number in the sequence, r = common ratio, n = number of terms Your task is to write a Python program that 1. Accepts the necessary inputs from the user, i.e., start value (a_1), common ratio (r), and number of generate to generate (n). 2. Generates the Geometric Progression (GP) sequence starting from a_1 to n. 3. Prints out the GP HORIZONTALLY not VERTICALLY, e.g. 3, 9, 27, 81, 243, 729.... 4. Calculates the sum of all numbers in the GP sequence 5. Prints out the sum on the next line.
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 10PE
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