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Ostrovityanka [42]
3 years ago
5

Given the sequence 7, 14, 28, 56, ..., which expression shown would give the tenth term? 7^10 7•2^10 7•2^9

Mathematics
2 answers:
Goshia [24]3 years ago
5 0
Each term is 2 times the previous
geometric series

an=a1(r)^(n-1)
an=nth term
a1=first term
n=which term
r=common ratio

common ratio is 2
first term is 7
n=10

so
7(2)^(10-1)
7(2)^9

last option is the answer
Pie3 years ago
5 0

Answer:

7•2^9

Step-by-step explanation:

This is a geometric sequence, since each term is found by multiplying the previous term by 2.

The explicit formula for a geometric sequence is given by

a_n=a_1 \times r^{n-1}, where a₁ is the first term and r is the common ratio, and n is the term number.

For our sequence, the first term is 7.  The common ratio is 2.  This gives us

a_n=7 \times 2^{n-1}

Since we want the 10th term,

a_{10}=7 \times 2^{10-1}\\\\=7 \times 2^9

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Answer:

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b) The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

Step-by-step explanation:

Question a:

86.6% out of 3149, so:

0.866*3149 = 2727.

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Question b:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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For this problem, we have that:

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90% confidence level

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The lower limit of this interval is:

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0.876*100% = 87.6%.

The 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication is (85.6%, 87.6%).

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