Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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![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[(r¹-1)/(r - 1)]
If r != 1 and r < 1, sum = a[(1 - r¹)/(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.](https://content.bartleby.com/qna-images/question/71d85eaf-aa5f-4178-a2b8-783616063eb8/b0579c36-3dd6-4df5-836f-b10761b1a537/67bayc_processed.jpeg)
Transcribed Image Text: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[(r¹-1)/(r - 1)]
If r != 1 and r < 1, sum = a[(1 - r¹)/(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.
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