I think these are the answers but i'm not to sure: 20.0. 15
Answer:
C
Step-by-step explanation:
to factor x² - x - 2
consider the factors of the constant term which sum to give the coefficient of the x-term.
the factors are - 2 and + 1 since - 2 × 1 = - 2 and - 2 + 1 = - 1
x² - x - 2 = (x - 2)(x + 1), hence (x + 1) is a factor
<u>Given</u>:
The 11th term in a geometric sequence is 48.
The 12th term in the sequence is 192.
The common ratio is 4.
We need to determine the 10th term of the sequence.
<u>General term:</u>
The general term of the geometric sequence is given by

where a is the first term and r is the common ratio.
The 11th term is given is

------- (1)
The 12th term is given by
------- (2)
<u>Value of a:</u>
The value of a can be determined by solving any one of the two equations.
Hence, let us solve the equation (1) to determine the value of a.
Thus, we have;

Dividing both sides by 1048576, we get;

Thus, the value of a is 
<u>Value of the 10th term:</u>
The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term
, we get;





Thus, the 10th term of the sequence is 12.