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svetlana [45]
3 years ago
13

A certain arithmetic sequence has this explicit formula for the nth term:

Mathematics
2 answers:
Margaret [11]3 years ago
6 0
The number 6 could replace the gap :)
Alex787 [66]3 years ago
5 0

Answer:

Answer is 6

Step-by-step explanation:

Given that there is an arithmetic sequence and has an explicit formula for the nth term as

a_n =13+(n-1)6\\

Since n can be any natural number, let us substitute n =1 to find the I term

a_1 = 13+(1-1)6=13

Let us find the 2nd term by substituting n=2

a_2 =13+(2-1)6=19

Common difference = d= a_2-a_1=19-13=6

Hence from I term a and common difference d, we find the any term can be obtained by adding 6 to the previous term

i.e. a_n=a_{(n-1) +6}

6 is the answer

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Two figures are shown. EFJL is dialation of ABIK AB has a length of 12 and EF has a length of 3
Dimas [21]

The scale factor of dilation from AB to EF is 0.25

<h3>How to determine the scale factor of dilation?</h3>

The given parameters are:

  • EFJL is dilation of ABIK
  • AB has a length of 12
  • EF has a length of 3

From the above parameters, side lengths AB and EF are corresponding sides

This means that:

The scale factor of dilation (k) is

k = AB/EF

So, we have

k = 3/12

Evaluate

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Hence, the scale factor of dilation from AB to EF is 0.25

Read more about scale factors at:

brainly.com/question/15891755

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4 0
2 years ago
Plss help me do this o-o
Vinvika [58]

Answer:

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Step-by-step explanation:

We know that since angles in a triangle add up to 180º, the remaining angle must be 45º.

So the side with length x must be equal to the side with length \sqrt6. That is:

x=\sqrt6

Now, by Pythagoras:

y=\sqrt{(\sqrt6)^2+(\sqrt6)^2}\\=\sqrt{6+6}\\=\sqrt{12}

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