Patterns

Question 1

What is a pattern?

Answer 1

Is a set of numbers, objects or diagrams that repeat in a particular manner.

Question 2

What is a sequence?

Answer 2

Is a set of terms, in a definite order, where the terms are obtained by some rule.

Question 3

What is a number sequence?

Answer 3

Is an ordered set of numbers, with a rule to find every number in the sequence

Question 4

What is an arithmetic sequence?

Answer 4

Is where the difference or change between one term and the next is always the same number. This means that the change in an arithmetic sequence is always constant.

Question 5

What letter in a arithmetic sequence formula represents the common difference?

Answer 5

d

Question 6

What is the general term for any arithmetic sequence?

Answer 6

Tn=a+(n-1)d

• Where a is the first term
• D is the common difference

Question 7

What is an arithmetic series?

Answer 7

Is the sum of all the terms in an arithmetic sequence

Question 8

What is the formula for the finding the arithmetic series?

Answer 8

Sn=n/2[2a + (n-1)d]