SOLUTION: What is the next term in the following sequence? 21, 22, 24, 25, 29, 30, 36, 37...

Algebra ->  Sequences-and-series -> SOLUTION: What is the next term in the following sequence? 21, 22, 24, 25, 29, 30, 36, 37...      Log On


   



Question 343404: What is the next term in the following sequence?
21, 22, 24, 25, 29, 30, 36, 37...

Answer by Jk22(389) About Me  (Show Source):
You can put this solution on YOUR website!
21,(+1=) 22,(+2=) 24,(+1=) 25, (+4)= 29,(+1=) 30, (+6=) 36, (+1=)37 (+8=)...45
We notice that to go to the next number, we need to add 1, and to the next to add 2n.
So the next number is 37+8=45.
(It's not sure that this is the unique solution)