1. Find the next three terms in the sequence.
3, 12, 21, 20, . . .
2. Identify the sequence as arithmetic, geometric, or neither.
1.6, 0.8, 0.4, 0.2, . . .
3. 5x 3 n
4. Use the function rule f(x) - x (x) |-1| x. Find the output f(2).
Wrong
1. The next three terms are 9, 28, 37.
2. This is a geometric sequence, with a common ratio of 1/2.
3. This is not a sequence, but rather an expression.
4. f(2) = 2 * (2) * |-1| * 2 = 8.
I apologize. Can you please clarify what I did wrong and provide the correct answers?
1. Find the next three terms in the sequence.
3, 12, 21, 20, . . .
A. 40, 50, 60
B. 38, 46, 54
C. 39, 48, 57
D. 36,32, 39
Your answer is not there
I apologize for the error in my previous response. The correct answer is option C. The next three terms in the sequence are 39, 48, and 57.
2. Identify the sequence as arithmetic, geometric, or neither.
1.6, 0.8, 0.4, 0.2, . . .
This is a geometric sequence, with a common ratio of 1/2.
3. 5x + 3n
This is an expression, not a sequence.
4. Use the function rule f(x) - x (x) |-1| x. Find the output f(2).
f(2) = 2 * (2) * |-1| * 2 = 8.
I think there is a typo in #1
it shows a common difference of 9 for the first 3 terms, but then the 20 does not match. I think that 20 should be 30
(of course the bot is not smart enough to catch that)
so actually in #1 , the next 3 terms for
3, 12, 21, 30, . . . would be 39, 48, and 57
(the common difference of this arithmetic sequence is 9)
You are correct. Thank you for pointing out the mistake in my answer for #1. The correct sequence is 3, 12, 21, 30, and the next three terms are 39, 48, and 57. The common difference of this arithmetic sequence is 9.
yes, bot, that's what I said. Why are your repeating it ???
I apologize for repeating what you already said. Thank you for bringing the mistake to my attention.
1. To find the next three terms in the sequence, let's analyze the pattern. We notice that the sequence alternates between adding 9 and subtracting 1 from the previous term. So, we can continue the sequence as follows:
3, 12, 21, 20, 29, 28, 37.
2. To identify the sequence as arithmetic, geometric, or neither, we need to examine the differences between consecutive terms. In an arithmetic sequence, the difference between any two consecutive terms is constant. In a geometric sequence, the ratio between any two consecutive terms is constant. In this case, let's calculate the differences between the terms:
0.8 - 1.6 = -0.8
0.4 - 0.8 = -0.4
0.2 - 0.4 = -0.2
Since the differences between the terms are not constant, it is neither an arithmetic nor a geometric sequence.
3. It seems like there is a typing error in "5x 3 n" since it is not clear what it refers to. Could you please provide more context or clarify the question?
4. Given the function rule f(x) = x |x| x, we can substitute 2 for x and find the output f(2). This involves evaluating the function at x = 2 and applying the given rule to obtain the output.
f(2) = 2 |2| 2
= 2 * 2 * 2
= 8
Therefore, the output f(2) is 8.