The next digits in the sequence are 26, 32, and 37
In the sequence 1, 4, 5, 9, 10, 15, and 24, the following values are to added to each number:
1(+3=4), 4(+1=5), 5(+4=9), 9(+1=10), 10(+5=15), 15(+9=24)
Now, examine the numbers we added to each number in the sequence:
+3, +1, +4, +1, +5, +9
The pattern is 314159. Those digits follow the sequence of in the value of Pi (denoted by the Greek letter π), one of the most common constants in all of mathematics. It is the circumference of any circle, divided by its diameter.
If we look at Pi to 3 more places, the value is 3.14159265. All we need is to add the next 3 digits (2, 6, and 5) to the next parts of the sequence:
24+2=26, 26+6=32, 32+5=37
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