Answer:
4 + 12 + 36 + ...
Step-by-step explanation:
4, 12, 36, ... is a geometric sequence, it has a common ratio of
When we add the terms of a geometric sequence we get a geometric series.
4+12+36+ ... is a geometric series, it has a common ratio of
4 + 12 + 20 + ... is not a geometric series because it has no common ratio
The second choice is correct
The average rate of change is also known as the slope. If we are looking to find the average rate of change between x = -1 and x = 2, in order to find the slope between those 2 x values, we need the y's that go along with them. Fill in -1 for x in the function and solve for y: . That means that the coordinate is (-1, 0). Fill in 2 for x in the function and solve for y:
. The coordinate there is (2, -3). Now we can set up the slope formula to find the average rate of change between those 2 points:
. Therefore, the average rate of change between x = -1 and x = 2 is -1