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german
3 years ago
14

PLEASE HELP ME OUT...

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer:

y=-3

Step-by-step explanation:

there is no slope so x will not be used in the equation it also crosses at -3

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I got the first two can you help me with the last one PLZ
Nat2105 [25]

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Step-by-step explanation:

Given sequence is:

6, 18, 54, 162,....

Here

a_1 =6\\a_2 = 18\\a_3 = 54

(a) Is this an arithmetic or geometric sequence?

We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.

We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r

r = \frac{a_2}{a_1} = \frac{18}{6}= 3\\r = \frac{a_3}{a_2} = \frac{54}{18} = 3

As the common ratio is same, the given sequence is a geometric sequence.

(b) How can you find the next number in the sequence?

Recursive formulas are used to find the next number in sequence using previous term

Recursive formula for a geometric sequence is given by:

a_n = a_{n-1} * r

In case of given sequence,

a_n = a_{n-1} * 3

So to find the 5th term

a_5 = a_4*3\\a_5 = 162*3\\a_5 = 486

(c) Give the rule you would use to find the 20th week.

In order to find the pushups for 20th week, explicit formul for sequence will be used.

The general form of explicit formula is given by:

a_n = a_1 * r^{n-1}

Putting the values of a_1 and r

a_n = 6 * (3)^{n-1}

Hence,

1. Geometric Sequence

2. a_n = a_{n-1} * 3

3. a_n = 6 * (3)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

4 0
3 years ago
Identify a pair of parallel lines in the given figure.
Alenkasestr [34]
Parallel Lines: lines in a plane which do not meet. they do not intersect at any point, so your answer is B.
7 0
3 years ago
Rewrite the following linear equation in slope-intercept form. Write youk
ozzi

Answer:

y=-2x-2

Step-by-step explanation:

y+4=-2(x-1)

y+4=-2x+2

y=-2x+2-4

y=-2x-2

6 0
3 years ago
I am confused, can someone help?
Natasha2012 [34]

Answer:

the figure made of two Ray's with a common vertex

Step-by-step explanation:

An angle is formed when two rays share a common endpoint. That common endpoint is called the vertex and the two rays are called the sides of the angle.

the first one the answer is vertex.

the last one is just simply not it.

3 0
3 years ago
Read 2 more answers
Of the 50 tables in a restaurant, 40% seat 2 people. The remaining tables seat 4 people. How many seats are there in the restaur
VikaD [51]
Okay. 40% of 50 is 20. 2 * 20 is 40. The other 30 tables seat 4 people. 4 * 30 is 120. 120 + 40 is 160. There are 160 seats in the restaurant.
4 0
3 years ago
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