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# Algebra - nth Term

This Math quiz is called 'Algebra - nth Term' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.

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The letter n (usually in italics) is often used in algebra to indicate the position of a term in a sequence. This can be a little difficult to grasp but work through this Math quiz (and read the helpful comments!) and you will soon get the idea.

1.
What is the nth term of the sequence 6, 11, 16, 21?
5n
5n + 1
5n + 5
n + 5
(5 x n) + 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.
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)
4.
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.
5.
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
6.
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
7.
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
8.
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
9.
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
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
Author:  Frank Evans