MYTUTOR SUBJECT ANSWERS

690 views

What are the differences between arithmetic and geometric sequences?

An arithmetic sequence has a constant difference between each term.
For example: 2,4,6,8,10,12,…
We can see clearly that all the terms differ by +2.
We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.
An example is: 2,4,8,16,32,…
So to find the next term in the sequence we would multiply the previous term by 2.
This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.
We can create a decreasing arithmetic sequence by choosing a negative common difference.
Similarly, a decreasing geometric sequence would have a common ratio of less than 1. 

Ryan J. GCSE Maths tutor, A Level Maths tutor, A Level Further Mathem...

2 years ago

Answered by Ryan, a GCSE Maths tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

464 SUBJECT SPECIALISTS

£30 /hr

Victoria S.

Degree: Physiology (Bachelors) - Liverpool University

Subjects offered:Maths, Biology

Maths
Biology

“Here to help with last minute revision prep! I'm Tory, in my final year studying Physiology at Uni of Liverpool and am a 5* rated tutor here to suit your needs.”

Katrina M. IB Maths tutor, 13 Plus  Maths tutor, GCSE Maths tutor, A ...
£18 /hr

Katrina M.

Degree: Mathematics Bsc (Bachelors) - Exeter University

Subjects offered:Maths, Physics+ 2 more

Maths
Physics
Further Mathematics
-Personal Statements-

“Hi, I am a patient, experienced and enthusiastic tutor ready to help each student reach their full potential.”

£22 /hr

Emma J.

Degree: Medicine (Bachelors) - Cambridge University

Subjects offered:Maths, Chemistry+ 4 more

Maths
Chemistry
Biology
-Personal Statements-
-Oxbridge Preparation-
-Medical School Preparation-

“Hi! I'm Emma and I'm studying Medicine at Cambridge. I love the sciences, and hopefully through my passion I can help you get the grade you want! ”

About the author

Ryan J.

Currently unavailable: for new students

Degree: Mathematics (Bachelors) - Durham University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
.STEP.

“Hi, I’m Ryan, a second year mathematician at Durham University and I have a drive and passion to become a tutor in mathematics. I have two years of experience tutoring a group of AS level maths students so I feel I have the understand...”

MyTutor guarantee

You may also like...

Posts by Ryan

How do you find the inverse of a function?

How to integrate lnx by parts?

What are the differences between arithmetic and geometric sequences?

Other GCSE Maths questions

If I buy a dress at 30% off the original price and I pay £40. How much was the dress originally?

Find the coordinates where the curve y=x^2+6x+5 crosses the x-axis.

How do I solve a simple simultaneous equation?

Solve the simultaneous equations: y=3x+2, x^2+y^2=20

View GCSE Maths tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok