28,38,134 which two numbers will come next? give reason also.

Question

Decode the puzzle and write the next two numbers on the same basis and also give reason to your answer.

Answer 1

One solution is 316, 584 as the next two numbers by using the formula 43x^2-33x+28 and putting in values of x=0, 1, 2. When x=3 we get 316 and when x=4 we get 584. 

Another solution is found by adding 1 to the sum of the first pair of numbers: 28+38=66, 66+1=67, then doubling it: 67*2=134. So, 38+134+1=173, then double it: 346. That gives us 28, 38, 134, 346. 134+346+1=481, then double it: 962. We then get: 28, 38, 134, 346, 962.