Question

Use the method of successive differences to determine the next term in the 9, 24, 44, 69, 99

Answer 1

`24-9=15`

`44-24=20`

`69-44=25`

`99-69=30`

If the pattern continues, then the expected difference between the current last term and the next one would be 35, which means the next term
`x` satisfies


`x-99=35\implies x=99+35=134`