16 integers from 1 to 100 can be written as the sum of 3 consecutive positive integers.
The consecutive integers are integers that follow each other in increasing order.
Sum of three consecutive integers from 1 to 100.
1+2+3=6
2+3+4=9
3+4+5=12
4+5+6=15
5+6+7=18
6+7+8=21
7+8+9=24...
29+30+31=90
30+31+32=93
31+32+33=96
32+33+34=99
We can write these consecutive integers as multiples of 6:
6=6× 1
12=6× 2
18=6× 3
24=6× 4....
90=6× 15
96=6× 16
So, sixteen numbers {6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96} can be written as the sum of three consecutive positive integers.
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