Respuesta :

Answer:

The next two terms are: 1.05 and 1.20

Step-by-step explanation:

Given

[tex]Sequence: 0.6, 75\%, 9/10[/tex]

Required

Write out the next two terms

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

[tex]d = 75\% - 0.6[/tex] or [tex]d = 9/10 - 75\%[/tex]

Express as decimals

[tex]d = 0.75 - 0.6[/tex] or [tex]d = 0.9 - 0.75[/tex]

[tex]d = 0.15[/tex] (in both cases)

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

[tex]Next = 9/10 + 0.15[/tex]

[tex]Next = 0.9 + 0.15[/tex]

[tex]Next = 1.05[/tex]

Add 0.15 to 1.05, to get the next term

[tex]Next = 1.05 + 0.15[/tex]

[tex]Next = 1.20[/tex]

The next two terms are: 1.05 and 1.20