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iragen [17]
3 years ago
7

A Write an explicit formula for an, the nth term of the sequence 17, 15, 13, ...

Mathematics
1 answer:
yawa3891 [41]3 years ago
3 0

Tn=-2n+19

Step-by-step explanation:

Well in south africa we use Tn

Tn=a+(n-1)d

a=is the first term in the sequence which is 17

d=is the the difference between the terms which is - 2

Tn=17+(n-1)(-2)

Tn=17-2n+2

Tn=-2n+19

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A graph has a constant of proportionality of 7.2. Let y represent minutes and x represent miles.
vodka [1.7K]

Answer:

  7.2 minutes per mile

Step-by-step explanation:

If we assume the description means y = 7.2x, the rate 7.2 means each increase in x of 1 mile results in an increase in y of 7.2 minutes. That is the rate is 7.2 minutes per mile.

4 0
3 years ago
A. What is the explicit definition for this sequence?<br><br>b. How far does she run on day 19?​
creativ13 [48]

Answer:

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

(b) 4 miles

Step-by-step explanation:

Given:

The sequence of run is an arithmetic sequence.

Miles traveled on day 1 = 1 mile

Miles traveled on day 7 = 2 miles

(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}

Here, a_1=1,a_7=2

So,

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

Therefore, the explicit definition of the above sequence is given as:

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.

3 0
3 years ago
Use the graph to the right to write an equation of the line.
Amanda [17]

Answer:

Using the point (-2,-4) it would be:

y + 4 = 1/3(x + 2)

Using the point (4,-2) it would be:

y + 2 = 1/2 (x - 4)

Step-by-step explanation:

hope this helps :)

4 0
2 years ago
Factor. 21x^2 -32x+12
baherus [9]
Through trial and error:
(7x-6)(3x-2)

Usually it works best to test out a number of possibilities :)
3 0
3 years ago
What does the y = f(x) represent?
skad [1K]

Answer:

a.

the function we are working with

Step-by-step explanation:

f(x) is functions notation which means the output for the function being worked with. It is the y value hence y=f(x).

6 0
3 years ago
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