UKUK USUSIndiaIndia

Every Question Helps You Learn

Parents Students Tutors Teachers Knowledge Bank Survey Results
Join Us
UKUK USUSIndiaIndia
Join Us
KS1 (Age 5-7)KS2 (Age 7-11)11 Plus (Age 7-11)KS3 (Age 11-14)GCSE (Age 14-17)PSHEESLSpanishSpecialistGames
  1. Home
  2. KS3
  3. Maths
  4. Level 5-6 Algebra - nth Term
Streak
Leading Streak Today 8
Your Streak Today 0
Streak
Leading Streak Today
8
Your Streak Today
0
Level 5-6 Algebra - nth Term
An understanding of maths will help you in everyday life.

Level 5-6 Algebra - nth Term

Discovering algebra is a big part of KS3 Maths. In algebra, we use letters instead of numbers. For example, the letter 'n' (often in italics) shows where a term is in a sequence, and we call it the 'nth' term.

Figuring out the rule for a number pattern can be easy or a bit tricky. Have you heard of the Fibonacci sequence? It creates a cool spiral pattern seen in nature. The rule: add the previous two numbers to find the next one. The nth term? Well, that's for advanced maths - no need to worry about that just yet!

Are Quizzes the Key to Children's Success? Find Out

Let's try an easier example. If a sequence starts with 5 and goes up in twos, the nth term is 2n + 3 (like 2 x 1 + 3 = 5, 2 x 2 + 3 = 7). It might seem tricky, but work through this quiz and read the helpful comments – you'll soon catch on to the idea!

1.
The nth term of a sequence is given by 3n + 1. What is the numeric value of the 8th term?
12
13
25
50
We are told that we need the 8th term. We put an 8 where the n is and then work it out: (3 x 8) + 1
2.
The nth term of a sequence is (2n)2 + 1. What is the the numeric value of the 3rd term?
33
35
37
39
(2 x 3)2 + 1
3.
The nth term of a sequence is (n + 1)2. What is the the numeric value of the 4th term?
20
25
30
35
(4 + 1)2
4.
What is the nth term of the sequence 6, 11, 16, 21?
5n
5n + 1
5n + 5
n + 5
(5 x n) + 1
5.
What is the next number in this sequence: 1, 1, 2, 3, 5, 8?
12
13
14
15
This is known as the Fibonacci sequence. To find each number you add together the two previous numbers. After 13 comes 21 (8 + 13) and then comes 34 (21 + 13)
6.
The nth term of a sequence is given by 3n + 1. What is the numeric value of the 1st term?
3
4
6
9
In the 1st term the value of n will be 1 and therefore the answer can be found as follows: (3 x 1) + 1
7.
What is the next number in this sequence: 1, 8, 27?
35
36
54
64
These are known as cube numbers. The 1st number in the sequence is 1 x 1 x 1; the 2nd number is 2 x 2 x 2; the 3rd number is 3 x 3 x 3 and the 4th number will be 4 x 4 x 4
8.
What is the next number in this sequence: 1, 4, 9, 16?
18
20
22
25
These are known as square numbers. The 1st number in the sequence is 1 x 1; the 2nd number is 2 x 2; the 3rd number is 3 x 3 etc.
9.
The nth term of a sequence is given by 3n + 1. What is the numeric value of the 3rd term?
4
6
8
10
The answer can be found as follows: (3 x 3) + 1
10.
The nth term of a sequence is given by 14n - 6. What is the numeric value of the 2nd term?
8
20
22
24
(14 x 2) - 6
You can find more about this topic by visiting BBC Bitesize - Algebraic terms and expressions

Author:  Frank Evans
Maths Play this quiz again

Contact Details

Education Quizzes

Heron's Way, Wragg Marsh
Spalding
Lincolnshire
PE12 6HH
England

Email

admin@educationquizzes.com

Customer Service

Home Page Students Teachers and Schools Tutors Education Quizzes - Join Us

Here To Help

Contact Us Quiz List and Sitemap Frequently Asked Questions Links and Resources Education Matters Blog

About Us

Our Team Testimonials Terms and Conditions Privacy Policy Parent Reviews

© Copyright 2016-2024 - Education Quizzes
Work Innovate Ltd - Design | Development | Marketing

We use cookies to enhance your experience on our website.

To comply with the e-Privacy directive, we need your consent - I agree - No thanks - Learn more