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sashaice [31]
3 years ago
13

Use the distributive property to rewrite the following expression.

Mathematics
2 answers:
Gekata [30.6K]3 years ago
7 0
Answer: 2n-8

Explanation: 2(n-6)+4 you bring 2 into the parentheses so 2 x n is just 2n
then 2 x -6 = -12
New equation 2n-12 +4
Now you combine-12 and 4 which is -8
Finale equation: 2n-8
Rina8888 [55]3 years ago
6 0

Answer:

2n - 12 + 4

Step-by-step explanation:

Distribute 2 across the n+6, get 2 x n and get 2n, and 2 x -6 = -12

u need this m8, good day

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Solve for the roots in simplest form using the quadratic formula:
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4x² - 12x + 17 = 0

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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

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the distance from earth to the sun is approximately 93 million miles about how many giga meters is this round to the nearest hun
Alenkinab [10]

Answer: 149.7

Step-by-step explanation:

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