Find the sum of the first 12 terms of the arithmetic series 32+27+22 + ...

54

Step-by-step explanation:

The first twelve terms would be, in decreasing order, 32, 27, 22, 17, 12, 7,2, - 3, - 8,-13,-18,-23.

1. - 23+22 = - 1

2. - 13+12 = - 1

3. - 18+17 = - 1

4. - 8+7 = - 1

5. - 3+2 = - 1

Using these five facts, we can simplify this to 32+27 - 5 (1) = 32+27-5 = 54

Answer:77

32+27+22+17+12+7+2-3-8-13-15-18=77