What are the next two numbers in this sequence: 7, 14, 8, 16, 10, 20, 14, _, _?

2 Answers
Nov 15, 2017

Series : #{7 , 14 , 8 , 16, 10, 20 , 14 , 28, 22}#

Explanation:

Series : #{7 , 14 , 8 , 16, 10, 20 , 14 , ?, ?}#

Odd series : {7 ,8 ,10 14 , ? (22}#

Even series : {14 ,16 ,20 , ? (28)}#

Next two numbers are #22,28#

Series : #{7 , 14 , 8 , 16, 10, 20 , 14 , 28, 22}# [Ans]

Nov 15, 2017

#4,14,8,16,10,20,14,28,22,44, cdots#

Explanation:

The sequence looks like

#((7, 7,14),(8,7+2^0,16),(10,7+2^0+2^1,20),(14,7+2^0+2^1+2^2,28),(22,7+2^0+2^1+2^2+2^3,44),(cdots,cdots,cdots))#

then

#4,14,8,16,10,20,14,28,22,44, cdots#