1. Find the next three terms in the sequence. 3, 12, 21, 30, ...
A. 40, 50, 60
B. 38, 46, 54
C. 39, 48, 57
D. 36, 32, 39
C. 39, 48, 57
Identify the sequence as arithmetic, geometric, or neither.
1.6, 0.8, 0.4, 0.2,...
A. arithmetic
B. geometric
C. neither
B. geometric
3. What are the first four terms of the sequence 5 x 3", starting with n = 1?
A. 15, 30, 45, 60
B. 5, 15, 45, 135
C. 0, 15, 45, 135
D. 15, 45, 135, 405
B. 5, 15, 45, 135
Scientists estimate the rate of a wildebeest running at full speed to be 66 feet per second. Write a function rule to describe the relationship between the time, t, and the distance, d, a wildebeest travels when running at full speed.
What's the answer?
The function rule to describe the relationship between time and distance is:
d = 66t
where d is the distance in feet and t is the time in seconds.
Can Find the slope of the line through (-9, -10) and (-2,-5).
Yes, we can find the slope using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the given values for (x1, y1) and (x2, y2), we get:
slope = (-5 - (-10)) / (-2 - (-9))
slope = 5 / 7
Therefore, the slope of the line passing through the points (-9, -10) and (-2, -5) is 5/7.
To find the pattern in the sequence, we can examine the differences between consecutive terms.
The difference between the first and second term is 12 - 3 = 9.
The difference between the second and third term is 21 - 12 = 9.
The difference between the third and fourth term is 30 - 21 = 9.
We can see that the differences between consecutive terms are all 9. This means that we are adding 9 to each term to get the next term in the sequence.
Using this pattern, we can find the next three terms in the sequence:
30 + 9 = 39
39 + 9 = 48
48 + 9 = 57
Therefore, the next three terms in the sequence are 39, 48, and 57.
The correct answer is C. 39, 48, 57.