SOLUTION: Please help. The sum of the integers between 10 and 65, inclusive, which are divisible by 2 and 3 is ____

SOLUTION: Please help. The sum of the integers between 10 and 65, inclusive, which are divisible by 2 and 3 is _____ Thanks in advance!

Question 995915: Please help.
The sum of the integers between 10 and 65, inclusive, which are divisible by 2 and 3 is _____
Thanks in advance!
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!
.
These integers are 12, 18, 24, . . . , 60.

It is arithmetic progression with the first term 12 and the difference 6; the last term is 60. The number of the terms is = = 8 + 1 = 9.

Use the formula for the sum of arithmetic progression

S =

(see the lesson Arithmetic progressions in this site). It gives

S = = = 36*9 = 324.

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