SOLUTION: 75+72+69+66+.....21+18+15

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Question 1207639: 75+72+69+66+.....21+18+15
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

75%2B72%2B69%2B66+.....+21%2B18%2B15
pattern:
common difference is 3
1st term: 75
2nd term: 75-3=72
3rd term: 72-3=69
4th term: 69-3=66
5th term: 66-3=63
6th term: 63-3=60
7th term: 60-3=57
and so on


Answer by ikleyn(52779) About Me  (Show Source):
You can put this solution on YOUR website!
.
75+72+69+66+.....21+18+15
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They want you find the sum of an arithmetic progression.

First term is 75; last term is 15; common difference is 3.


The sum is the product of the mean by the number of terms.


The mean is  %2875%2B15%29%2F2 = 90%2F2 = 45.


The number of gaps = %2875-15%29%2F3 = 60%2F3 = 20.


The number of terms is 20+1 = 21.


The sum is  mean * the number of terms = 21 * 45 = 945.    ANSWER

Solved.