Answer:
A)29 and B) 21,
Step-by-step explanation:
First,in the sequence
, the parameter
must to be a integer.
Second, we need to solve the equations by
.

All the option in the problem represent an
Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.
For A)

For B)

For C)

For D)

Only A) and B) only A and B meet the requirement
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Step-by-step explanation:
1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.