Question

30. Work out the next two terms, giving your answers as fractions decimals or percentages. The sequence below is linear. 0.6 75% 9 10 \ (2 marks)

Answer 1

The next two terms are: 1.05 and 1.20

Explanation:

Given

`Sequence: 0.6, 75\%, 9/10`

Required

Write out the next two terms

Since it is a linear sequence; first, we calculate the common difference (d)

`d = 75\% - 0.6` or
`d = 9/10 - 75\%`

Express as decimals

`d = 0.75 - 0.6` or
`d = 0.9 - 0.75`

`d = 0.15` (in both cases)

So, we add 0.15 to 9/10, to get the next term

`Next = 9/10 + 0.15`

`Next = 0.9 + 0.15`

`Next = 1.05`

Add 0.15 to 1.05, to get the next term

`Next = 1.05 + 0.15`

`Next = 1.20`

The next two terms are: 1.05 and 1.20