I'll help you but I;m not just going to give you the answer
<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.
100 = x + x/2
3x/2 = 100
x = 200/3
if there was 50% discount:
buying 1 would be $33.33
buying 2 would be $66.67
Answer: 2r=d
d=24.28590063
Step-by-step explanation:
vsphere=4/3pir^3
7500=4/3pir^3
times both sides by 3
22500=4pir^3
divide both sides by 4
5625=pir^3
divide bot sides by pi
1790.4931=r^3
cube root both sides
12.142950=r
2r=d
d=24.28590063 ft