## MYTUTOR SUBJECT ANSWERS

1576 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.

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

#### 787 SUBJECT SPECIALISTS

£18 /hr

Degree: Mathematics (Masters) - Bath University

Subjects offered:Maths, Further Mathematics

Maths
Further Mathematics

“Hi! I am studying Mathematics at Bath University and I am passionate about teaching, and learning mathematics.”

MyTutor guarantee

|  1 completed tutorial

£18 /hr

Degree: Mathematics (Bachelors) - Bath University

Subjects offered:Maths, Further Mathematics + 1 more

Maths
Further Mathematics
-Personal Statements-

“An engaging, creative and friendly tutor with 4 years experience in tutoring Maths to a broad range of ages and abilities.”

Trusted by schools

|  4 completed tutorials

£18 /hr

Degree: Chemistry (Masters) - Imperial College London University

Subjects offered:Maths, Chemistry+ 1 more

Maths
Chemistry
Biology

“Oxford PhD student eager to demystify chemistry and boost student confidence through personalised lessons.”

Trusted by schools

|  3 completed tutorials

#### About the author

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

Expand and simplify the following equation: 6(x-3) - 4(x-5) = 0

How do I find the equation of a line that is perpendicular to another line?

How do I solve an equation where there are unknowns on both sides of the equation?

Solve the simultaneous equations: 4x+3y=5 and x-y=3, to find the values of x and y.

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