Find the next three terms of each sequence?

Question

2.) 3/4,-1/4,1/12,-1/36... 
3.) 16,8,8/2,8/4... 
4.) 30,-10,10/3,-10/9... 
5.) 1/3,1 1/3,5 1/3,21 1/3... 
6.) 60,30,15,7.5... 

Answer 1

2) Given series 3/4,-1/4,1/12,-1/36...

To find next number multiply with negitive 1/3 to previous number.

Now the series is 3/4,-1/4,1/12,-1/36,1/108,-1/324,1/972,...

3) Given series 16,8,8/2,8/4, ...

To find next number divide by 2 to previous number.

Now the series is 16,8,8/2,8/4,8/8,8/16,8/32,...

4) Given series 30,-10,10/3,-10/9...

To find next number divide by negitive 3 to previous number.

Now the series is 30,-10,10/3,-10/9,10/27,-10/81,10/243,...

5) Given series 1/3,1 1/3,5 1/3,21 1/3,...

To find next number multiply with 4.

Now the series is 1/3,1 1/3,5 1/3,21 1/3,85 1/3, 341 1/3,1365 1/3,..

6) Given series 60,30,15,7.5,...

To find next number divide by 2 to previous number.

Now the series is 60,30,15,7.5,3.75,1.875,0.9375,..