Question

What is the next number in the sequence? Explain your reasoning.

1,4,7,10,...
1,5,9,13,...
3,8,18,38,...
5,8,14,26,...

Answer 1

1,4,7,10,13,16
`a_(n+1)=a_(n)+3`
1,5,9,13,17,21
`a_(n+1)=a_(n)+5`
3,8,18,38,78,158 Add 5, Add 10, Add 20 etc.
5,8,14,16,40,88 Add 3, Add 6, Add 12, Add 24 etc.