What are the next three terms in the sequences below?

1.) 2, 5, 7, 12, ___, ___, ___

2.) 9, 11, 20, 31, ___, ___, ___

3.) 2, 5, 10, 50, ___, ___, ___

4.) 1, 3, 3, 9, ___, ___, ___

Question

What are the next three terms in the sequences below?

1.) 2, 5, 7, 12, ___, ___, ___

2.) 9, 11, 20, 31, ___, ___, ___

3.) 2, 5, 10, 50, ___, ___, ___

4.) 1, 3, 3, 9, ___, ___, ___

solomonzelman · Answer

oh the patterns are:

2, 5, 7, 12, ___, ___, ___

9, 11, 20, 31, ___, ___, ___

2, 5, 10, 50, ___, ___, ___

1, 3, 3, 9, ___, ___, ___

correct?   (got a bit confused by the numbers in front)

dallaslifebaby01 · Answer

yes let me edit it

solomonzelman · Answer

the last pattern is     $\Large\color{black}{ a_{n+1}=a_{n}\times a_{n-1}  }$

solomonzelman · Answer

the 3rd pattern is
r=5/2  (geometric sequence)

dallaslifebaby01 · Answer

i don't have anything to work it out on but im sitting some kids and I'm trying to go over their work

solomonzelman · Answer

the 2nd pattern is Fibonacci sequence, but they start from 9 and 11

solomonzelman · Answer

and the 1st sequence is also Fibonacci sequence, that starts from 2 and 5

solomonzelman · Answer

(i gave you the patterns)

dallaslifebaby01 · Answer

okay thank you!