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2 years ago

Find the third, fourth, and tenth terms of the sequence describe by the rule below

Mathematics

1 answer:

Sophie [7]2 years ago

4 0

The third term, fourth term and tenth term are -1, -3, -15 respectively.

<h3>What is a sequence?</h3>

A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.

Analysis:

For a sequence defined by the rule A(n) = 3 + (n-1)(-2)

Third term, n = 3

A(3) = 3 + (3-1)(-2) = -1

Fourth term, n = 4

A(4) = 3 + (4-1)(-2) = -3

Tenth term, n = 10

A(10) = 3 + (10-1)(-2) = -15

In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.

Learn more about sequence: brainly.com/question/6561461

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Find an equation of the line that passes through the points (1 2) and perpendicular to the line 2y-x=4

Ratling [72]

Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line

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Find the slope
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2y - x = 4

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Rewrite into the form y = mx + c
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2y = x + 4
y = 1/2 x + 2

Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)

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Insert slope into the equation
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y = mx + c
y = -2x + c

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Find y-intercept
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y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4

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Insert y-intercept into the equation y = -2x + c
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y = -2x + 4

----------------------------------------------------------------------------------------------
Answer: y = -2x + 4
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3 years ago

Determine whether the given set of points are collinear. W (-4,-2), 1 (0,2), L (3,5).

patriot [66]

Bo they r not bc they look boring

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3 years ago

while shopping for clothes, Tracey spent 38$ less than 3 times what Daniel spent. write and solve an equation to find how much D

alexandr1967 [171]

$\bold{\huge{\orange{\underline{Solution}}}}$

$\bold{\underline{ Given :- }}$

While shopping for clothes Tracey spent 38$ less than 3 times of what Daniel spent

$\bold{\underline{ To\: Find :- }}$

We have to determine the total cost spent by daniel

$\bold{\underline{ Let's \: Begin :- }}$

Cost spent by Tracey for her clothes = 38$

Let assume the spending by Daniel is x

$\bold{\underline{Therefore ,}}$

$\sf{ x / 3 = 38 }$

$\sf{ x = 38 × 3 }$

$\sf{ x = 114 dollar }$

$\sf{\red{ Hence,\: Daniel\: spent\: 114 \: dollars\: on \: His\: clothes }}$

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3 years ago

12-2(7x-3)=3(1-2x)-5x

vfiekz [6]

12 - 2(7x - 3) = 3(1-2x) - 5x
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6 0

3 years ago

Eight days = _ hours Please tell me

Lana71 [14]

In order to answer this question, you need to know how many hours
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8 0

3 years ago

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