Answer:
x= 361
Step-by-step explanation:
<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:
y=3/4 x+1
Step-by-step explanation:
first you start with y=mx+b find the y intercept first which is 1 next you just count down the block which is 3 then count to the right till you find a spot where it lands which would get you y=3/4+1
Answer: the answer is x=72
Step-by-step explanation:
Step 1: simplify both sides we know 15=x/4 -3 (the x holds a invisible 1)
the equation should look something Like: 15=1/4x-3 then FLIP the equation such as:
1/4x-3=15 then add 3 on both sides so 15+3=18
step 2: our equation is now 1/4x=18 (we see 4 is being divided the opposite of division is multiply) therefor multiply the 18 with 4
18*4=72 which means x=72
It sounds like initially we have a total of 18*5 = 90. Then we are adding 5 + 4 +3 +2 +1 to this.
so that gives us 105.
105/5 = 21