Maths

Question 1

Sequence

Answer 1

a sequence is a series of numbers that follow a rule to get from one term to the next

Question 2

Integer

Answer 2

a whole number

Question 3

Linear Sequence

Answer 3

when the sequence adds or subtracts the same number each time

Question 4

What is the term to term rule here:
4 7 10 13

Answer 4

add on 3

Question 5

What is the term to term rule here:
12 6 3 1.5

Answer 5

halve it

Question 6

In notation what does n mean

Answer 6

n is a positive whole number or integer
n is 1, n is 2, etc

Question 7

In notation what does 4n mean

Answer 7

4 x n which is the 4x table

Question 8

In notation what does 7n mean

Answer 8

7 x n which is the 7x table

Question 9

In notation what does nth term mean

Answer 9

a formula which we can use to find any term in our sequence

Question 10

How is the base number written?

Answer 10

Large because it is the number you are repeatedly multiplying by itself - here it is the 5

Question 11

How is the index number written?

Answer 11

Small and to the right of the base number. It is sometimes called the exponent or the power. Here it is 2.

Question 12

What is the plural of index

Answer 12

indices

Question 13

What does 7n mean?

Answer 13

7 x n

Question 14

What does n2 mean?

Answer 14

n x n

Question 15

What does n4 mean?

Answer 15

n x n x n x n

Question 16

What does 3n2 mean?

Answer 16

3 x n x n
The 3 isn’t squared

Question 17

What does ab2 mean?

Answer 17

a x b x b

Question 18

What does a2b mean?

Answer 18

a x a x b

Question 19

What does (ab)2 mean?

Answer 19

(a x b) x (a x b) or a2b2

Question 20

How do you multiply terms with the same base number?

Answer 20

add the indices
n3 x n4 x = n7 because
n3 x n4 = n x n x n x n x n x n x n

Question 21

How do you divide terms with the same base number?

Answer 21

subtract the indices

Question 22

Special cases:
What is 1n

Answer 22

1n = 1 whatever n is

Question 23

Special cases:
What is n1

Answer 23

n1 = n whatever n is