Help Contact For teachers and institutes

Mock Tests Classes

StemPy Lab

Learn. Solve. Code the solutions. Test yourself.

Live examsFree mock exams, timed and rankedEveryone starts together, and your score and rank come the moment it ends.See the exams →

Learn

Physics
Chemistry
Mathematics
Biology
Python Programming
Statistics & Data Science
Classes
Groups

Practice

Problems
Quizzes
Mock Tests
Prepare for an Exam
Question Sets
Exams
Certificates
Python Labs
AI Practice Generator
Student-Created Tests

Community

Discussions
Resources
Notes
Blog

Account

Log in

© 2026 senLearn. All rights reserved.Help About Contact Privacy Policy Terms of Use Refund Policy

An infinite geometric progression has sum 18, and the… | StemPy Lab

Quizzes
An infinite geometric progression has sum 18, and the sum of the squares of its terms is 108. Its first term is

MathematicsHardHigh School (11–12)Algebra › Sequences and Series JEE Main A-Level IB AEEE (Amrita)AMUEEE AP EAPCET

+16 more exams

BCECE COMEDK UGET GUJCET JCECE JKCET KCET KEAM KIITEE LPUNEST MET (Manipal)MHT-CET OJEE SRMJEEE TS EAPCET UPESEAT

Created by StemPy Lab

An infinite geometric progression has sum $18$ , and the sum of the squares of its terms is $108$ . Its first term is

← All Quizzes

← The length, breadth and height of a box, in that order, form a geometric progression. The box holds 1728 cm³, and its three edges add to 42 cm. The sum of the squares of the edges is As x runs through all real numbers, the expression 9ˣ + 9^(1 - x) never drops below →

More onAlgebra › Sequences and Series

Discussion (0)

Log in to join the discussion.

Loading…

More questions on this topic

Positive real numbers a, b and c satisfy a + b + c = 12, and apart from this they may be chosen…Advanced
If a, b, c are positive numbers in geometric progression, then log a, log b, log c are inMedium
A ball is dropped from a height of 16 m. After each bounce it rises to 3/4 of the height it fell…Medium
How many terms of 4 + 12 + 36 + … add up to 484?Easy
An arithmetic progression has 4th term 13 and 9th term 33. The sum of its first 20 terms isEasy

All questions on this topic →

Problems on this topic

A rectangular garden must have an area of 225 m²…Hard
Insert two geometric means between 4 and 500.Medium
The arithmetic mean of two positive numbers is 15 and their geometric mean is 9. Find the numbers.Medium
Find the arithmetic mean and the geometric mean of 2 and 32, and the difference between them.Easy

All problems on this topic →