Question

If the pattern continues how many cups of milk does George need to make 6 batches of muffins

Answer 1

see explanation

Explanation:

If we consider the differences between consecutive terms, that is

`(3)/(4)` -
`(3)/(8)` =
`(3)/(8)`

1
`(1)/(8)` -
`(3)/(4)` =
`(3)/(8)`

1
`(1)/(2)` - 1
`(1)/(8)` =
`(3)/(8)`

To obtain the next term in the pattern add
`(3)/(8)` to the previous term.

batches = 5 ⇒ milk = 1
`(1)/(2)` +
`(3)/(8)` = 1
`(7)/(8)`

batches = 6 ⇒ milk = 1
`(7)/(8)` +
`(3)/(8)` = 2
`(1)/(4)`