My name: Meredith O'Neill
middle school (8)

At this point, the whole family wants to know the answer. if possible an explanation. thanks
a sequence ?

16,37,58,89,145 ??

Hi Meredith,

The pattern here seems to be "each term in this sequence, after the first, is the sum of the squares of the digits in the previous term". That is

12 + 62 = 1 + 36 = 37
32 + 72 = 9 + 49 = 58
52 + 82 = 25 + 64 = 89

If this is the correct pattern then the next term is

12 + 42 + 52= 1 + 16 +25 = 42

Construct a few more terms of this sequence and see what happens.

Cheers,
Chris
Go to Math Central