Solution

Multiple Surprises Argentum

Problem / game
Multiple Surprises Back to problem
First name
Argentum
Country
India
File
Nrich solved 2.jpg

              Multiple surprises

As soon as I realized that the difference between each set of numbers was equivalent to the LCM of those 3 numbers it became clear how to find an answer to the main problem. I figured this out by drawing a grid with all the numbers from 1 to 100.I used the sets of 3 numbers first to figure out the pattern 

Once the pattern was found I found the LCM of all numbers from 1-10 which is 2520.As 1-10 is the first said sequence, I added 2520 to 1 to start  the next sequence which is 2521-2530. I then added 2520 to 2521 to get 5041 which heads the next sequence of 5041-5050.I then repeat the same step to get the sequence 7561-7570 .This pattern continues to infinity.