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garik1379 [7]
3 years ago
14

Consider the sequence below.

Mathematics
2 answers:
lubasha [3.4K]3 years ago
6 0

Answer:

thanks pretty sure this is right

Step-by-step explanation:

Evgen [1.6K]3 years ago
4 0
ANSWER

The explicit formula that defines the sequence is
f(n) = 3 ( \frac{1}{3} ) ^{n - 1}


EXPLANATION


The given sequence is
3,1, \frac{1}{3} , \frac{2}{9} ,...


The first term of this sequence is
a = 3
We can find the common ratio by expressing a subsequent term over a previous term and simplifying it.


The common ratio is
r =  \frac{1}{3}


The formula for finding the nth term of the given geometric sequence is given by,

f(n) = a {r}^{n - 1}




We now substitute the value of the first term and the common ratio in to the above formula to obtain,



f(n) = 3( \frac{1}{3} )^{n - 1}


The correct answer is option D.
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Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

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Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

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To learn more about the together rate, you can take a look at brainly.com/question/25159431

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Step-by-step explanation:

Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.

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Step-by-step explanation:

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