<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.
9514 1404 393
Answer:
f(x) = -4x^2 +48x -129
Step-by-step explanation:
It usually works well to compute the square first. That is, simplify according to the order of operations.
f(x) = -4(x^2 -12x +36) +15
f(x) = -4x^2 +48x -144 +15
f(x) = -4x^2 +48x -129
Answer:
-10
Step-by-step explanation:
-4 + -3 = -7
-7 + -2 = -9
-9 + -1 = -10
Answer:
2.5 cm
Step-by-step explanation:
We see the diameter is 5cm
so the radius is half the diameter
5/2 = 2.5 cm