Number Sequence: 4,16,37,58,89,145,42,20, ...

[liub1258]

What is the next number in this sequence and tell me how you arrived at it?

4,16,37,58,89,145,42,20, ...

 

[stapel]

What is the next number in this sequence and tell me how you arrived at it?

4,16,37,58,89,145,42,20, ...

There are probably many mathematically-valid answers. "The" answer is only the one the author had in mind when he constructed the exercise. As long as you can justify your answer mathematically, your solution should be counted "correct". So...

What have you tried? How far have you gotten? What patterns have you noticed? Where are you stuck? What are your thoughts?

Please be complete. Thank you!

Eliz.

 

[soroban]

Think "squares of the digits" . . .