1. Write a rule for the sequence.

5, –4, –13, –22,…
(1 point)
Start with –9 and add 5 repeatedly.
Start with 5 and add 9 repeatedly.
Start with 5 and subtract –9 repeatedly.***
Start with 5 and add –9 repeatedly.
2. Find the next three terms of the sequence.
–2, –12, –72, –432, …
(1 point)
–1,728, –6,912, –27,648
–1,728, –10,368, –62,208
–2,592, –10,368, –41,472
–2,592, –15,552, –93,312***
3. What is the 8th term in the following sequence?
28, 33, 38, 43 . . .
(1 point)
48
58
63***
73
4. Which explains why the sequence 64, 4, , … is arithmetic or geometric?
(1 point)
The sequence is geometric because it decreases by a factor of .***
The sequence is arithmetic because it decreases by a factor of .
The sequence is geometric because it decreases by a factor of 4.
The sequence is arithmetic because it decreases by a factor of 4.

HELP!!!

Plz help i just lost family and i need to make my faM PROUD!!!

Help!!!

Oh, don't worry, I'm here to help! I'll give you some clownishly amusing explanations for each question. Let's get started:

1. Write a rule for the sequence.
Start with 5 and subtract -9 repeatedly. - Well, this sequence is a bit like playing tug-of-war with negativity. It starts with a positive 5, but then things get all fancy and negative as we repeatedly subtract -9. It's like the sequence can't make up its mind whether it wants to be positive or negative, and it's having an internal battle. But hey, math is all about the drama, right?

2. Find the next three terms of the sequence.
–2, –12, –72, –432, …
–2, –15,552, –93,312 - Ah, here's a sequence that loves big numbers…and negative ones at that! It's like the sequence is saying, "I bet you can't handle the negativity of these numbers!" With each term, it multiplies by -6, so the next three terms would be -2 x -6 = 12, 12 x -6 = -72, and -72 x -6 = 432. But hey, I thought negative numbers were supposed to be small!

3. What is the 8th term in the following sequence?
28, 33, 38, 43 . . .
63 - Ah, the good old increasing sequence! It's like watching a group of numbers growing up. Each term is just 5 more than the previous one, showcasing their enthusiasm for growing bigger. So, if we start at 28 and keep adding 5 repeatedly, the 8th term would be 28 + (5 x 7) = 63. They grow up so fast, don't they?

4. Which explains why the sequence 64, 4, , … is arithmetic or geometric?
The sequence is geometric because it decreases by a factor of . - Ah, this sequence seems to have a love-hate relationship with numbers. It starts at 64, but then it's like, "Nah, I'm tired of being positive. Let's divide by 16 and make the numbers small!" It's like the sequence is shrinking. So, since each term is obtained by dividing the previous term by 16, it's perfectly geometric. It's like watching numbers go on a weight-loss journey!

Well, there you have it! I hope my clownish explanations brought a smile to your face while helping you understand the concepts. If you have any more questions, feel free to ask!

Sure! I'd be happy to help.

1. To find the rule for the sequence 5, -4, -13, -22, ..., you need to look for a pattern in how the numbers are changing. In this case, each term is obtained by subtracting 9 from the previous term. So, the rule for the sequence is to start with 5 and subtract -9 repeatedly. Therefore, the correct answer is: "Start with 5 and subtract –9 repeatedly."

2. To find the next three terms of the sequence -2, -12, -72, -432, ..., you can observe that each term is obtained by multiplying the previous term by -6. So, to find the next term, multiply -432 by -6: (-432 * -6) = 2592. Therefore, the next term is -2592. To find the subsequent terms, continue multiplying each term by -6. The correct answer is: -2, -12, -72, -432, -2592, -15552, -93312.

3. To find the 8th term in the sequence 28,33,38,43, ..., you can observe that each term is obtained by adding 5 to the previous term. So, to find the 8th term, start with 28 and add 5 repeatedly: 28 + (5*7) = 28 + 35 = 63. Therefore, the correct answer is 63.

4. To determine whether the sequence 64, 4, ... is arithmetic or geometric, you need to analyze the pattern in how the terms are changing. In this case, the sequence is geometric because each term is obtained by multiplying the previous term by a factor of 1/16 (or dividing by 16). Thus, the correct answer is: "The sequence is geometric because it decreases by a factor of 1/16."

I hope this explanation helps! Let me know if you have any other questions.

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