1, 5, 17, 53, use inductive reasoning to create a general rule for the sequence. a. multiply by 3, then add 2. b. multiply by 5. c. divide by 2, then add 10. d. multiply by 4, then subtract 2.

The answer to this problem is the letter "A" which is "Multiply by 3, then add 2"
and can be written a N = 3n + 2
At first, we have initial value such n = 1
Then the second value is:
N = 3*1 + 2
N = 5
The third value is:
N = 3*5 + 2
N=17
The next values are:
N = 3*17 + 2
N= 53
The letter "A" is the inductive reasoning to the given sequence.

Answer with explanation:

Equation of Parabola that opens Downward having vertex at (0,4) is given by:

       

It is also given that,  vertex of a second parabola is at (0, –4).

Also, it is given that Parabola Intersect at two points.

 So, the parabola must open upward to intersect at two points.

Equation of Parabola having vertex (0,-4) ,is given by:

         

It is not necessary that , point of intersection is on the x axis, the two parabolas can intersect anywhere.

Option B: The second parabola opens upward