Practice General Form Of A Geometric Sequence (1.1) - Geometric Sequences
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

General Form of a Geometric Sequence

Practice - General Form of a Geometric Sequence

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Find the 6th term of the sequence: 2, 6, 18, 54,…

💡 Hint: Use the common ratio to find the next term.

Question 2 Easy

What is the common ratio for the sequence: 5, 15, 45, 135?

💡 Hint: Divide the second term by the first term.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is a geometric sequence?

A series where numbers increase by addition
A sequence where each term is multiplied by a fixed value
A sequence of random numbers

💡 Hint: Think about the operations involved to progress from one term to the next.

Question 2

True or False: The sum of an infinite geometric series converges if |r| >= 1.

True
False

💡 Hint: Recall the definitions regarding convergence and divergence.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A viral video starts with 10 views and doubles every hour. How many views will it have after 6 hours?

💡 Hint: Use the formula for exponential growth based on geometric sequences.

Challenge 2 Hard

The sum of an infinite series S = 8 + 4 + 2 + ... What is the finite sum?

💡 Hint: Identify the common ratio and apply the infinite sum formula.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.