Question

What is the next number and why ? 1,3,11,35,99,_

Answer 1

Answer: 241

Step-by-step explanation:

This is a simple problem when using Pascal's triangle. First you look at 1 - 3, what is the difference in these 2 numbers? Its 2, then you look at 3 and 11, the difference is 8, then 11 and 35, the difference is 24. If you keep doing this you get; 2 8 24 64 142. Next you find out how these numbers are different. In the end you keep doing this until you get to the triangles point or the differences converge.

                                          1      3      11      35     99      241

                                             2      8     24       64    142

                                                6      16      40      78

                                                     10     24      38

                                                          14       14

In the end we get 14 but there is no difference in the numbers so we cant go any farther. Hope this helps!