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Alekssandra [29.7K]

3 years ago

13

Mr. Torres took his students to the dolphin show. Each row in the stadium has 11 seats. One adult sat at each end of the row, an

d each group of 4 students was seated between 2 adults. Mr Torres sat by himself. How many adults were there?

1 answer:

hjlf3 years ago

8 0

I’m pretty sure there were 5 adults.

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A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?

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Answer:

(a) $a_n=1+\frac{1}{6}(n-1)$

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Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

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(a).

Explicit formula for an arithmetic sequence is given as:

$a_n=a_1+(n-1)d\\a_n\to n^{th}\ term\\a_1\to first\ term\\n\to number\ of\ terms\\d\to \textrm{common difference}$

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$a_7=a_1+(7-1)d\\2=1+6d\\6d=2-1\\d=\frac{1}{6}$

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$a_n=1+\frac{1}{6}(n-1)$

Where, $a_n$ is the miles covered on $n^{th}$ day.

(b)

In order to find the distance covered by her on day 19, we plug in 19 for n in the above formula. This gives,

$a_{19}=1+\frac{1}{6}(19-1)\\\\a_{19}=1+\frac{1}{6}(18)\\\\a_{19}=1+3=4\ mi$

Therefore, the number of miles covered by her on day 19 is 4 miles.

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