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valina [46]
2 years ago
14

A sequence is shown in the graph.

Mathematics
1 answer:
marysya [2.9K]2 years ago
8 0
<h3>Answer:   Choice C</h3>

Explanation:

Focus on the y coordinates. They are: 6, 3, 1.5, 0.75

Divide each by their previous term

  • 3/6 = 0.5
  • 1.5/3 = 0.5
  • 0.75/1.5 = 0.5

We have a common ratio of r = 0.5

This proves we have a geometric sequence.

The starting term is a = 6

The nth term is a_n = a(r)^{n-1} = 6(0.5)^{n-1} which is likely what choice C is showing. Though choice C should be written as 6(0.5)^(n-1)

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Answer the question below
Lina20 [59]

Answer:

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3 0
3 years ago
In a café, I order a cup of tea and a piece of cake and it costs £1.10. The next time I order 2 cups of tea and one piece of cak
defon

Answer:

£0.50

Step-by-step explanation:

t = one cup of tea

c = one piece of cake

t + c = £1.10

2t + c = £1.70

the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60

substitute £0.60 into t + c = £1.10

£0.60 + c = £1.10

rearrange to get c = £1.10 - £0.60 = £0.50

so one piece of cake costs £0.50

7 0
3 years ago
Read 2 more answers
Give the unit rate for the better deal.<br><br> $156<br> 4 g<br> or <br> $280<br> 7 g
Alexus [3.1K]

Answer:

$156 for 4 g

I did not rally understand how you worded your question so sorry if I got it wrong! <3

Step-by-step explanation:

$156 for 4 g =

$156 / 4 = $39 dollars for 1 g

$280 for 7 g =

$280/7 = $40 dollars for 1 g

8 0
3 years ago
Read 2 more answers
Need help with this
Artemon [7]

The answer is D (the last answer choice)

3 0
3 years ago
Need help ASAP !!!!!!!
Anestetic [448]
First we distribute \frac{1}{5} into n and -\frac{1}{7}.

\frac{1}{5} * n =  \frac{1}{5} n
\frac{1}{5}  *  -\frac{1}{7}  = - \frac{1}{35}

That makes the left side of the equation 

\frac{1}{5} n -  \frac{1}{35} =  \frac{1}{6} n

Now we subtract \frac{1}{5}n from \frac{1}{6} n, which makes \frac{1}{30}

Now the equation is 

-\frac{1}{35} =  -\frac{1}{30n}

Our goal is to isolate n, so we both sides by 30

30* -\frac{1}{35} = - \frac{1}{30}n * 30 

That will make the equation 

- \frac{30}{35} = -n

We multiply -1 on both sides of the equation:

\frac{30}{35} = n

Finally we simplify \frac{30}{35}, which makes \frac{6}{7}

So the answer is n =  \frac{6}{7}
5 0
3 years ago
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