Consider the arithmetic sequence:
2 answers:
Answer:
<em>Answer: D</em>
Step-by-step explanation:
<u>Arithmetic Sequences </u>
The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the arithmetic sequence:
10, 12, 14, 16, ...
Where a1=10 and
r = 12 - 10 = 2
Thus the general term is:
Operating:
Answer: D
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Answer:
Option 3.
Step-by-step explanation:
The given function is
where, h(t) is the height of a small rock falling from the top of a 124-ft-tall building and t is the time in seconds.
It is a downward parabola.
Equate the function equal to 0, to find the time at which the rock touch the ground.
If , the according to the quadratic formula
Using quadratic formula, we get
Time cannot be negative. So, the rock remain in the air in the interval 0 < t < 2.
Therefore, the correct option is 3.