Question

What rules should get the following patterns ? what are the number in each pattern 1) 2,3,5,9,17,...... ......

Answer 1

2,3,5,9,17

Difference b/w terms :: 1,2,4,8

So the difference of pattern are in GP with R=2

next term of pattern will be

17+16=33

Answer 2

the difference between the numbers is start with 2^0...then 2^1 ....then 2^2....and so on so the next numbers are 33,65....