SOLUTION: How many terms of the progression 3, 6, 9, 12,.... must be taken at the least to have a sum not less than 2000?

Question 727805: How many terms of the progression 3, 6, 9, 12,....
must be taken at the least to have a sum not less than 2000?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Finding or evaluating finite arithmetic series is , where n is the index of the final term, is the first term, and d is the common difference between terms.

Your example would use the expression for the sum as , and because you want this value to be "not less than 2000", you want the inequality statement,
. Solve for n.
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