we conclude that the sequence has 8 terms.
<h3>
How to get the number of terms in the sequence?</h3>
Here we have the geometric sequence:
2/81, 4/27, 8/9, ..., 6912
Notice that each term is equal to 6 times the previous term, such that:
2/81*6 = 4/27
4/27*6 = 8/9
Then the n-th term is equal to:
Where in this case:
Now we need to find the value of n such that:
If we apply the natural logarithm to both sides, then:
Then we conclude that the sequence has 8 terms.
If you want to learn more about geometric sequences:
brainly.com/question/1509142
#SPJ1
Answer:
Deleted account
Step-by-step explanation:
Here 3x-12y-216=0
Reducing into slope intercept form
-12y= -3x + 216
12y = 3x - 216
Which is in the form of, y = mx + c
Slope (m) = 3
Step-by-step explanation:
The numbers less than 5 or even are {1, 2, 3, 4, 6}. This is 5 of the 6 possible numbers.
The probability of getting one of these on a single roll of a single die is 5/6.
The area of the square pyramid is 105 sq inches.
Step-by-step explanation:
Given,
The base of the pyramid (b) = 5 inches
The height (h) = 8 inches
To find the area of the square pyramid.
Formula
The area of the square pyramid = 2bh + 
Now,
The area of the square pyramid = 2×5×8 + 
sq inch
= 105 sq inches
Hence,
The area of the square pyramid is 105 sq inches.
Answer:
Step-by-step explanation:
I'm assuming that strange looking thing is a 9, so begin by multiplying both sides by that denominator to get:
then subtract 3 from both sides to get
and then square both sides to get
and get everything on one side to solve for x by factoring:
and factor that however it is you have learned to factor second-degree polynomials to get that
x = 16 and x = 9. We have to check for extraneous solutions because anytime you manipulate an equation, as we did by squaring both sides, you run the risk of these solutions that actually don't work when you plug them back into the original equation. Let's try 16 first:
If 16 is a solution, then this statement will be mathematically true.
and 
so 16 works. Let's try 9:
We know that one doesn't work, because 9-9 = 0 and 0 over anything = 0, not 1.
x = 16 is the only solution.
