the sum of the integers from 1 to 100 which are not divisible by 3 or 5is .
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Answer:
2632
Step-by-step explanation:
The sum of numbers not divisible by 3 or 5
= Sum of first 100 natural numbers − Sum of the divisor of 3− Sum of the divisor of 5+ Sum of the divisor of 15
Sum =∑n=1100n−∑k=1333k−∑i=1205i−∑j=1615j
=2n.n+1−23k(k+1)−25i(i+1)+215j(j+1)
=2100×101−23×33×34−25×20×21+215×6×7
=5050−1683−1050+315
=2632.
Hence, the answer is 2632.
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