Question

Write the next 4 sequence start at 5 3/4, subtract 5/8

Answer 1

Subtract 5/8 from 5 3/4 to obtain the first term.

`\begin{gathered} 5(3)/(4)-(5)/(8)=(23)/(4)-(5)/(8) \\ =(46-5)/(8) \\ =(41)/(8) \\ =5(1)/(8) \end{gathered}`

Subtract 5/8 from 41/8 to obtain the second term.

`\begin{gathered} (41)/(8)-(5)/(8)=(41-5)/(8) \\ =(36)/(8) \\ =(9)/(2) \\ =4(1)/(2) \end{gathered}`

Subtract 5/8 from 36/8 to obtain the third term.

`\begin{gathered} (36)/(8)-(5)/(8)=(36-5)/(8) \\ =(31)/(8) \\ =3(7)/(8) \end{gathered}`

So first four terms are,

`5(3)/(4),5(1)/(8),4(1)/(2),3(7)/(8)`