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3 years ago

Write an explicit formula for a , the nth term of the sequence 7, 14, 28, ...

Mathematics

2 answers:

ss7ja [257]3 years ago

5 0

56 is the next number

aleksley [76]3 years ago

3 0

Answer:

yes

Step-by-step explanation:

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5 ÷ x for x = 1/3 solve

WARRIOR [948]

So if x is equal to 1/3, then our equation would be 5/(1/3). When dividing by a fraction, you can multiply by the reciprocal to find the answer, meaning that if you divide by 1/3, you can multiply by 3/1. So your answer would be 15.
5/(1/3)=x
5*3=x
15=x

6 0

3 years ago

If molly walks 4 miles in 70 minutes, then molly will walk how far in 100 minutes if she walks at the same speed the whole time?

barxatty [35]

Find out how far Molly walks in 1 minute.

4/70 = 0.057 miles
In 100 minutes,
0.057x100 = 5.714 miles

Rounded to the nearest tenth, 5.7 miles.

Hope I helped :)

7 0

3 years ago

What is the closed linear form for this sequence given a1 = 0.3 and an + 1 = an + 0.75?

german

Answer:

The closed linear form of the given sequence is $a_{n}=0.75n-0.45$

Step-by-step explanation:

Given that the first term $a_{1}=0.3$ and $a_{n+1}=a_{n}+0.75$

To find the closed linear form for the given sequence

The formula for arithmetic sequence is

$a_{n}=a_{1}+(n - 1)d$ (where d is the common difference)

The above equation is of the given form $a_{n+1}=a_{n}+0.75$

Comparing this we get d=0.75

With $a_{1}=0.3$ and d=0.75

We can substitute these values in $a_{n}=a_{1}+(n - 1)d$

$a_{n}=a_{1}+(n - 1)d$

$=0.3+(n-1)(0.75)$

$=0.3+0.75n-0.75$

$=-0.45+0.75n$

Rewritting as below

$=0.75n-0.45$

Therefore $a_{n}=0.75n-0.45$

Therefore the closed linear form of the given sequence is $a_{n}=0.75n-0.45$

3 0

3 years ago

Find the measure of an angle between 0º and 360º coterminal with an angle of –110º in standard position

kondor19780726 [428]

<h2>Answer:</h2>

An angle measures how how much you have to rotate one line called <em>initial side</em> so it lies on the top of other line called the <em>terminal side. </em>Angles whose vertex is located at the origin having the initial side on the positive x-axis is said to be in standard position. On the other hand, coterminal angles are angles in standard position having the same terminal side. In this way, for the angle:

$-110^{\circ} \\ \\ Its \ coterminal \ is: \\ \\ \alpha=360^{\circ}-110^{\circ}=\boxed{250^{\circ}}$

3 0

3 years ago

What is the range of the graph above?

Juli2301 [7.4K]

There is no graph for us to see

5 0

3 years ago