There is no sum for this geometric series. it diverges rather than converges due to the absolute value of the common ratio (r), which is -3, being 3. for a geometric series to have a sum (to converge), the absolute value of r must be less than 1.
(you find r by dividing a2/a1, a3/a2, etc.)
hope this helps
A because there is a difference between a expression and equation. Expressions don’t have a equal sign or an answer. But equations have an equal sign and an answer. So because everything else has an answer or equal sign, the correct answer would be A. Hope this helps!
Remark
The closest answer is D, but the answer has to be rewritten: f(x) = - 2/3 (6)^(x - 1) where x is 1,2,3,4,5,6 .... to plus infinity. If that is not what you are given, there is no answer.
Discussion
The minus sign is misplaced. There are 2 reasons.
1. When x is odd, then the minus sign is not there and every other term will be plus.
2. For a related reason, you cannot get a minus 2/3 if the sign is affected by the power. The first term must be -2/3. (-6)^0 power is 1 not -1
Answer: There is no answer, but you could try C if D does not work.
Answer: -0.33
Step-by-step explanation:
So how you would do this as you would set it up in a graph on a piece of paper you would take both points you'd use your slope formula, which is m=y2-y1 over x2-x1 And then you sell your formula with the numbers. So it would be 3-5 over 5-(-1) And then you subtract both of those and you take your two answers and divide them. -2÷ 6 =