Sequences

Question 1

What are arithmetic sequences?

Answer 1

Sequences where you are adding or subtracting the same amount each time

Question 2

What is the common difference?

Answer 2

The amount the numbers in the sequence changes by each time

Question 3

What are geometric sequences?

Answer 3

Where the numbers are being multiplied or divided by the same amount each time

Question 4

What is the common ratio?

Answer 4

The amount the numbers are being multiplied by each time

Question 5

How would you figure out the next term in an arithmetic sequence?

Answer 5

You would add or subtract the common difference to the previous term

Question 6

How would you figure out the common difference in an arithmetic sequence with gaps?

Answer 6

You would figure out the difference between present terms then divide it by the number of terms between them.

Question 7

How would you figure out the next term in a geometric sequence?

Answer 7

You would multiply the last term by the common ratio

Question 8

What is a quadratic sequence?

Answer 8

when the second difference is the same each time

Question 9

How would you figure out the next number in a quadratic sequence?

Answer 9

You would add the next 2nd difference to get the first difference then add the 1st difference to the last term in the sequence

Question 10

How would you figure out previous terms in a geometric sequence?

Answer 10

You would switch the direction and symbol of the common ratio ( to division) from the most previous

Question 11

What is a the Fibonacci sequence?

Answer 11

where the first two terms are 1and sum to make the next

Question 12

What is a Fibonacci-type sequence?

Answer 12

A sequence that follows the same rules but doesn’t start with the same numbers

Question 13

How would you workout the next term in a Fibonacci sequence?

Answer 13

You would add the 2 previous terms together

Question 14

How would you work out previous terms in a Fibonacci sequence?

Answer 14

note that the previous ones added with the next one makes the one after that so you can subtract the next one by the one after that.