SOLUTION: The sum of all of the integers from 1 to 30 is 465. The sum of all of the integers from 1 to 30 that are divisible by 3 is (A) 135 (B) 155 (C) 156 (D) 165 (E) None of these

Question 314469: The sum of all of the integers from 1 to 30 is 465. The sum of all of the integers from 1 to 30 that are divisible by 3 is
(A) 135 (B) 155 (C) 156 (D) 165 (E) None of these

Answer by Edwin McCravy(20065) (Show Source): You can put this solution on YOUR website!
The sum of all of the integers from 1 to 30 is 465. The sum of all of the integers from 1 to 30 that are divisible by 3 is


3 + 6 + 9 + 12 + 15 + 18 + 21 + 24 + 27 + 30 = 165, choice (D)

or do it by the formula for the sum of an arithmetic series,

with first term = , common difference , nth term = 













Then use the sum formula:







, choice (D)

Edwin

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