Answer: C
Explanation: You first convert the mixed numbers into improper fractions ( including the ones inside and outside of the parentheses) Then, subtract the fractions inside of the parentheses. Then whatever you got, add it to the fraction that was outside of the parentheses.
(7^5/6 - 5^1/3) + 1^1/9
^
(47/6 - 16/3) + 10/9
^
5/2 + 10/9
65/18 = 3^11/18
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
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Answer:
1a. 42% of teens spend time playing games on their phones
2a. Collecting data would be difficult because you have t figure out what state in the U.S to use.
3a. 513 students from 84 colleges nationwide found that 34.89 percent of them spend a lot of time playing games on their smartphones, and 42.69 percent play occasionally.
Answer:
3,4,5
Step-by-step explanation: