[Feature] Add Geometric Progression Calculator

[dfghjkbd]

Description

I want to make calculator helps determine the nth term and the sum of the first n terms of a geometric progression.
Input
a : The first term of the geometric progression.
r : The common ratio of the geometric progression.
n : The term number to calculate and sum up to.
Output
t_n : The nth term of the geometric progression.
S_n : The sum of the first n terms of the geometric progression.

formula for nth term is tn=ar^n-1
sum of first n terms

when r!=1 Sn=a(r^n -1)/r-1 and r=1 Sn=na

Screenshots

Checklist

• I have checked the existing issues.
• I follow Contributing Guidelines of this project.
• I am a GSSOC'24 contributor.
• I am a IWOC'24 contributor.
• I am a JWOC'24 contributor.
• I am a SWOC'24 contributor.

Code of Conduct

• I agree to follow this project's "Code of Conduct".

[github-actions]

Hey @dfghjkbd, Welcome to the project CalcDiverse! 🎊
Thanks for opening an issue! 🙌 Please wait for the issue to be assigned. Happy Coding!! ✨

[dfghjkbd]

@Rakesh9100 I would like to build a new calculator that will support determining the nth term and the sum of the first n terms of a geometric progression. This tool will be really helpful for students and math enthusiasts.

Kindly assign me this issue.

Thank you!

[jessicachawla]

@dfghjkbd give an idea of the ui you will be keeping

[dfghjkbd]

@Rakesh9100 please assign me this issue .

[jessicachawla]

@dfghjkbd you won't be assigned the issue till you clear all the doubts I/Rakesh have. Clear them first instead of asking us to assign you the issue

[Rakesh9100]

We already have Geometric Progression Calculator @dfghjkbd

[github-actions]

Hello @dfghjkbd! Your issue #1655 has been closed. Thank you for your contribution!! 🙌