Algebra - Sequences
These are sequins but an ordered set of numbers that follow a pattern is called a sequence.

Algebra - Sequences

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This Math quiz looks at lists of numbers which follow a clear pattern e.g. 1, 3, 5, 7 being the first four odd numbers. It will help you to practice finding numbers in patterns and ways of describing how the patterns are formed.

1.
An ordered set of numbers that follow a pattern is called what?
A Secret
A Sequel
A Sequence
A Sequin
2.
When numbers are put together in such a way that they follow a pattern, they are said to follow a what?
Riley
Roller
Rule
Ruler
3.
Each number in a sequence is called a(n) …….
Unit
Term
Item
Position
Terms in a sequence are often labeled Tn where n indicates the position of the term in the sequence: for the 1st term, n = 1, for the 2nd n = 2 etc
4.
What are the next three numbers in this sequence: 28, 24, 20, 16?
14, 12, 10
15, 14, 13
20, 24, 28
12, 8, 4
Each number is 4 less than the previous number. If asked to give the rule we might say 'Take 4 from the previous number'
5.
What are the 3 missing numbers in the following sequence 3, 6, ....... , ....... , ....... , 18, 21, 24?
7, 8, 9
8, 10, 14
9, 12, 15
3, 6, 12,
The rule is that we add 3 to the previous number
6.
What is the rule in the following sequence 2, 4, 8, 16, 32, 64, 128?
Add 8 to the previous number
Add together the two previous numbers
Double the previous number
Halve the previous number
7.
Which numbers come next in the following sequence: 1, 1, 2, 3, 5, 8?
13, 21, 34
11, 14, 17
5, 3, 2
12, 20, 30
This sequence is called the Fibonacci sequence. The rule is that we add together the two previous numbers. Sometimes sequences are easy to spot and at other times they take a lot of thinking about!
8.
What is the nth term (Tn) in the sequence 1, 2, 3, 4, 5, …….?
9
n
n + 1
n - 1
These are simply the counting numbers. The first term is 1; the second term is 2; the third term is 3 etc., so the nth term, Tn, is just n
9.
What is the nth term in this sequence: 4, 7, 10, 13, …….?
n + 4
3n + 1
2n + 2
5n - 1
Try out each rule to find which fits. If Tn = 3n + 1, when n = 1 the 1st term is 3 x 1 + 1 = 4 but if Tn = n + 4, the 1st term is 1 + 4 = 5
10.
What is the sixth term in the sequence with Tn = 2n - 5?
7
10
17
27
Use n = 6 to find the value of Tn
Author:  Frank Evans

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