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Conceptual visualization of a series of numerical values progressing along a line in a chart. The line starts with -0.8, followed by -3.2, -12.8, and finally peaking at 51.2. The line dips below and then rises above the horizontal for the negative and positive numbers respectively. The series ends with an empty spot, indicating the place for a missing number that follows the established pattern. The graph background is pale, the line is colored vibrantly, enhancing the contrast and making the line the focal point of the image.

Identify a pattern and find the next number in the pattern -0.8,-3.2,-12.8,51.2

Here is for the Algebra 2 practice answers (connections academy)

Practice: Semester A Review Online Practice
Algebra 2 A / 8. Semester A Review and Exam / 8.1. Semester A Review

1. B
2. C
3. A
4. C
5. B
6.A
7. D
8. A
9. D
10.A
11. A
12. C
13. D
14. C
15. B
16. B

Captncrun is wrong, Just did it with Anonymous' answers and got them right. Don't Use Capncrun answers

If you sequence are :

- 0.8 , - 3.2 , - 12.8 , - 51.2

then:

a1 = - 0.8 = - 0.2 * 4 = - 0.2 * 4 ^ 1

a2 = - 3.2 = - 0.2 * 16 = - 0.2 * 4 ^ 2

a3 = - 12.8 = - 0.2 * 64 = - 0.2 * 4 ^ 3

a4 = - 51.2 = - 0.2 * 256 = - 0.2 * 4 ^ 4

So:

an = - 0.2 * 4 ^ n

a5 = - 0.2 * 4 ^ 5 = - 0.2 * 1024 = - 204.8

All 100% correct

Thanks Anonymous

Your the best!!🤩😍🥰

Thanks Anonymous 100%

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Anonymous is correct.

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Anonymous is right :D