determine which sequence is an arithmatic sequence. a. -10, 5, - 5/2, 5/4,... b. 1/5, 1/7, 1/9, 1/11, ... c. 3,6, 12, 24,... d.
Damm [24]
Answer:
d
Step-by-step explanation:
An arithmetic sequence has a common difference between its terms. The only sequence with a common difference is choice d, which has a common difference of -4. The other options have common ratios, making them geometric, not arithmetic, sequences.
-2/10 which equates to -1/5
Answer:
d.)
Step-by-step explanation:
<h3>
Answer: -15 and 2</h3>
You find this through trial and error.
A much more efficient way is to solve x^2-13x-30 = 0 using the quadratic formula. You'll find the two solutions to be x = 15 and x = -2
Going from those solutions, we get x-15 = 0 and x+2 = 0 which then turn into (x-15)(x+2) = 0 through the zero product property.
Since h represents the height of the ball at any given time, t, let h = 25, such that the ball will be 25m high at t.
Now, we have 25 = 20t - 5t²
5t² - 20t + 25 = 0
t² - 4t + 5 = 0

Since the discriminant is less than zero, there are no solutions.
Hence, the ball will never be 25m high.