SOLUTION: how many terms in the series 19+16+13...must be added to give a sum of 44

Question 842180: how many terms in the series 19+16+13...must be added to give a sum of 44
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The first term of the SEQUENCE is 19.
The difference between terms is NEGATIVE 3.
The n term of the SEQUENCE is .

The formula for Arithmetic SERIES is .
You want this equation: .

SOLUTION STEPS

and ; this is done for using general solution to a quadratic equation and avoid trying to factor the quadratic expression.
-
without showing all the steps for this formula.
The MINUS form will give a bad value, a mixed number while the PLUS form gives .

What you might try, to be sure, find the sum of this:

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