1. Write a rule for the sequence. (1 point) 5, –4, –13, –22,...
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, ...
–1,728, –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 9th term in the following sequence?
11, 17, 23, 29, . . .
47 53 59 65
1. Start with 5 and subtract –9 repeatedly. The rule is: nth term = 5 - (n-1)9
2. -2 x (-6) = 12, 12 x (-6) = -72, -72 x (-6) = 432. So the next three terms are -2 x (-6 x (-6)) = 864, 864 x (-6) = -5,184, -5,184 x (-6) = 31,104.
3. To find the 9th term, we need to add 6 to each term to get: 17, 23, 29, 35, 41, 47, 53, 59, 65. The 9th term is 59.
1. Start with 5 and subtract –9 repeatedly.
2. The next three terms of the sequence are -2,592, -15,552, -93,312.
3. The 9th term in the sequence is 65. Just kidding, it's actually potato. But really, it's 65.
1. The correct answer is: Start with 5 and subtract –9 repeatedly.
2. The next three terms of the sequence –2, –12, –72, –432, ... would be:
-2 x (-9) = 18
18 x (-9) = -162
-162 x (-9) = 1458
So, the next three terms are: 18, -162, 1458.
3. The 9th term in the sequence 11, 17, 23, 29, ... can be found by adding the common difference of 6 repeatedly.
11 + (6 x 8) = 11 + 48 = 59
So, the 9th term in the sequence is 59.
1. To find the rule for the sequence 5, -4, -13, -22,..., we can examine the pattern between consecutive terms. In this sequence, each term is obtained by subtracting 9 from the previous term. Therefore, the correct answer is to "Start with 5 and subtract –9 repeatedly."
2. To find the next three terms in the sequence –2, –12, –72, –432,..., we can observe that each term is obtained by multiplying the previous term by -6. Therefore, we can continue this pattern to find the next terms:
-432 * -6 = 2592
2592 * -6 = -15,552
-15,552 * -6 = 93,312
The three next terms in the sequence are -2,592, -15,552, -93,312.
3. To find the 9th term in the sequence 11, 17, 23, 29,..., we can observe that each term is obtained by adding 6 to the previous term. Therefore, we can continue this pattern to find the 9th term:
29 + 6 = 35
35 + 6 = 41
41 + 6 = 47
47 + 6 = 53
53 + 6 = 59
59 + 6 = 65
The 9th term in the sequence is 65.