Answer:
The COMMON RATIO of the sequence is -2.
Step-by-step explanation:
Here, the given sequence is:
5, -10, 20 ,-40
Here, The first term ( a 1 ) of the sequence is (5)
The second term (a 2) of the sequence is (-10)
Third term of sequence (a 3) is 20
Now, calculating the common ratio (r) of sequence ,we get:
So, here r =(-2)
⇒ The COMMON RATIO of the sequence is -2.
Hence, the given sequence in in GEOMETRIC PROGRESSION.
Answer:
Step-by-step explanation:
When answering questions like this, we have to first decide which function we have to use. This is done by looking at the given domains (the x≤-2 etc). The first question ( f(-2) ), means we have to choose the function that applies to the x-coordinate -2. x=-2 is part of the section x ≤-2 since the sign means larger or equal to -2. Hence, we use the function 2x+8 to calculate f(-2). After finding this, the solving is relatively easy, just fill in the x-coordinate:
f(-2) = 2 * -2 + 8 = -4 + 8 = 4
The second one needs the same method. x=3 belongs in the section
-2 < x ≤ 3, since the final part means x is smaller or equal to 3, and in this case it is. Hence we use here:
f(3) = 3² - 3 = 9 - 3 = 6
I hope this helps! Feel free to reach out if you still have questions