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

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