<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.
Answer:
22 cookies
Step-by-step explanation:
A dozen items means 12 number of items.
Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container
= 2
6 = 12
Number of cookies brought by Sally = A dozen cookies = 12
Number of cookies brought by Sandy = 2
Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26
Total number of cookies to be brought = 4 dozen = 48 cookies
Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together
48 - 26 = <em>22 cookies</em>
Answer:
A. 5-log3 (2)
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
When two lines are parallel, their slopes are the same.
Since the slope of line <em>l </em>is 2/7, the slope of its parallel line <em>m</em> must also be 2/7.
The answer is C.
1. 461
2. 760
3. 467
4. 795
5. 802
6. 643
7. 228
8. 479
9. 118 stickers (from Alex)
10. 543 (10 more) gives 553. You can find out the number that is 10 more when you add the regular number by 10, 543 + 10 = 553.
Hope this helped!
Nate