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spayn [35]
3 years ago
11

The first three terms of a geometric sequence are as follows.

Mathematics
2 answers:
enyata [817]3 years ago
5 0
The common ratio is 16/32 = 8 / 16  = 0.5

So the next 2 terms are 8*0.5 = 4   and 4*0.5 = 2

answer is 4 and 2
Nina [5.8K]3 years ago
3 0
32/16 = 2
16/8 = 2

so 8/2 = 4

4/2 = 2

your next 2 terms are 4 and 2

hope this helps
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Which equation represents the line that is perpendicular to and passes through (-40,20)?
emmasim [6.3K]

The equation of the perpendicular line to the given line is: y = -5/4x - 30.

<h3>What is the Equation of Perpendicular Lines?</h3>

The slope values of two perpendicular lines are negative reciprocal of each other.

Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.

Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.

Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:

20 = -5/4(-40) + b

20 = 50 + b

20 - 50 = b

b = -30

Substitute m = -5/4 and b = -30 into y = mx + b:

y = -5/4x - 30

The equation of the perpendicular line is: y = -5/4x - 30.

Learn more about about equation of perpendicular lines on:

brainly.com/question/7098341

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8 0
1 year ago
Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....
erik [133]

Answer:

A_n = 7(-6)^{n-1}

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7   or   252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

a_n = a_1(r)^{n-1}

--> r means the constant (or common ratio) that is being multiplied.

--> a_1 means the first term

--> a_n means the "nth" numbered term (so a_3 is the 3rd term, a_{10} is the 10th term and so on).

--> n-1 is just the "n" in a_n minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> r = -6 (Since we got -6 as the constant/common ratio).

--> a_1  = 7 (Since 7 is the 1st term)

This means that our formula would be --> A_n = 7(-6)^{n-1}

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
A triangle has side lengths of 6, 8, and 9. what type of triangle is it?
miv72 [106K]
Scalene triangle 
because all sides are of a different length

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3 years ago
Steven wants to keep track of how many miles he walks in a year. He expects to walk 5 miles per day, and he has
WINSTONCH [101]

Answer:

The fourth choice.

Step-by-step explanation:

Because since 90 miles is basically counted as your first day, you do the number of days, n, minus 1 and then multiply it by 5 to find the number of miles walked after the first day. Then you add it to 90.

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3 years ago
Please Fill in the Blank with the simplified equation. 5/8g=40
FinnZ [79.3K]

Multiply both sides by 8

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Divide both sides by 5

5g/5 = 320/5

G = 64

4 0
3 years ago
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