<h3>
Answer: Choice C) 2 - 6 + 18 - 54 + ...</h3>
Explanation:
The three dots or ellipses indicate the pattern goes on forever to infinity. So the answer is between choices A and C based on this alone. Choice A is a sequence while choice C is a series. A sequence is simply a list of values often in some kind of mathematical pattern. A series is where you add values from a sequence together. This distinction rules out choice A and makes choice C the answer.
Note: choice C is a geometric series with first term 2 and common ratio -3. The infinite series diverges because r = -3 is outside the range -1 < r < 1.
Answer:
1. Undefined
2. Negative
3. Zero
4. Positive
Step-by-step explanation:
1. Undefined, the line moves in both directions vertically. It's impossible to tell what the slope is.
2. Negative, the line is decreasing at a constant rate, the slope is negative.
3. Zero, the line doesn't increase or decrease, therefore the slope is 0. (No changes)
4. Positive, the line is increasing at a large rate, the slope is positive.
Answer:
2,125,760
Step-by-step explanation:
The first term (a) is 8
The fourth term is 216
Hence the sum of the first 12 term can be calculated as follows
= 8-8(3)^12/1-3
= 8-24^12/-2
= 2,125,760
The sum of first 12 terms is 2,125,760
34 x 0.07375= 2.5075
2.5075 + 34 =36.51
or
34×1.07375=36.51
Answer: B
Step-by-step explanation:
The range of a function is the set of all possible values for the function's dependent variable. In this case, that variable is y, so we can look at the graph to observe what possible y-values fit in the range.
There are no y-values below -1 on the chart, and the function goes upwards to infinity, so the correct answer is B, y is greater than or equal to -1.
