MYTUTOR SUBJECT ANSWERS

597 views

How do I find the nth term of a sequence?

For any sequence where there is a common difference (it increases or decreases with the same amount, n, each time) you can find the nth term using the formula: dn+(a-d)

"a" is the value of the first term in the sequence

"d" is the common difference between the terms

To find the nth term you find the values of "a" and "d" and stick them in the formula, dn+(a-d)

For example: Find the nth term of this sequence: 3,7,11,15

The first term is 3, so a=3

The common difference is 4 (as it increases by 4 each time), so d=4

By using the formula we get, 4n+(3-4), which is equal to 4n-1

We can check this works by subbing in values of n into the formula and you will see that it is correct. 

Laura M. GCSE Maths tutor

2 years ago

Answered by Laura, a GCSE Maths tutor with MyTutor


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

510 SUBJECT SPECIALISTS

£18 /hr

Molly M.

Degree: French and Beginner's Portuguese (Bachelors) - Oxford, Magdalen College University

Subjects offered:Maths, French

Maths
French

“About Me: I am a languages student at Oxford University, studying French and Portuguese. I am passionate about language and communication, which I hope will be conveyed in the sessions! In school I always found Maths interesting, and I...”

MyTutor guarantee

£20 /hr

Samuel H.

Degree: Philosophy (Bachelors) - Bristol University

Subjects offered:Maths, Philosophy and Ethics+ 2 more

Maths
Philosophy and Ethics
-Personal Statements-

“Philosophy student specialising in Philosophy of Maths and Science, can provide high quality tuition in these subjects, and assist with personal statements.”

£18 /hr

Oscar G.

Degree: Economics and Politics (Bachelors) - Bristol University

Subjects offered:Maths, Politics+ 1 more

Maths
Politics
Economics

“About Me: I am a Economics and Politics student at Bristol University. I have always had a real passion and love for all things involving Mathematics, Economics and Politics and hope that my tutorials will instill that love in you, to...”

MyTutor guarantee

About the author

Laura M.

Currently unavailable: no new students

Degree: Mathematics with Study in Continental Europe (Masters) - Bristol University

Subjects offered:Maths

Maths

“Hi, I'm Laura and I study Mathematics at Bristol. I would love to tutor you in GCSE Mathematics.”

MyTutor guarantee

You may also like...

Other GCSE Maths questions

How do I solve x^2+6x+8=0?

Show that (4+√12)(5-√3)= 14+6√3

Solve the simultaneous equations: y=2x+2, y=x^2 - 1

How do you work out the old price of an item having been given the new price after a specified percentage change?

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