Question 90053
<pre><font face = "Arial Black" size = 5 color = "darkgreen"><b>
Use inductive reasoning to predict the next 
number in each sequence. 
3, 7, 11, 15, _____________ 

To get from 3 to 7 you either have to 

1. Add 4
or
2. Multiply by 7/3

To get from 7 to 11 you either have to 

1. Add 4
or
2. Multiply by 11/7

To get from 11 to 15 you either have to 

1. Add 4
or
2. Multiply by 15/11

The only rule that was the same on all those 
was "Add 4".

So we add 4 to 15 and get 19.

Answer

3, 7, 11, 15, _19_

==============================================

1, -2, 4, -8 ________________

To get from 1 to -2 you either have to 

1. Add -3
or
2. Multiply by -2

To get from -2 to 4 you either have to 

1. Add 6
or
2. Multiply by -2

To get from 4 to -8 you either have to 

1. Add -12
or
2. Multiply by -2

The only rule that was the same on all those 
was "Multiply by -2".

So we multiply -8 by -2 and get 16.

Answer:

1, -2, 4, -8, _16_

Edwin</pre>