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

Answer:

The next two terms are: 1.05 and 1.20

Step-by-step 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