SOLUTION: Find the sum of the first 22 terms in the arithmetic series -6 - 12 - 18 - ... -1,260 -1,518 -1,386 -1,584

Algebra ->  Finance -> SOLUTION: Find the sum of the first 22 terms in the arithmetic series -6 - 12 - 18 - ... -1,260 -1,518 -1,386 -1,584      Log On


   



Question 1035874: Find the sum of the first 22 terms in the arithmetic series -6 - 12 - 18 - ...
-1,260
-1,518
-1,386
-1,584

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
Find the sum of the first 22 terms in the arithmetic series -6 - 12 - 18 - ...
-1,260
-1,518
-1,386
-1,584
~~~~~~~~~~~~~~~~~~~~~~~~~

Use the formula for the sum of the first n terms of an arithmetic progression

S%5Bn%5D =  a%5B1%5D+%2B+a%5B2%5D+%2B+a%5B3%5D+%2B+ellipsis+%2B+a%5Bn%5D = %28a%5B1%5D+%2B+%28n-1%29%2Ad%2F2%29%2An

where a%5B1%5D is the first term, d is the common difference and n is the number of terms (see the lesson Arithmetic progressions in this site).

In your case a%5B1%5D = -6, d = -6, n = 22.

Plug in this data in the formula and get

S%5B22%5D = %28-6+%2B+%2821%2A%28-6%29%29%2F2%29%2A22.

Make calculations.