The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the nth term of this sequence?

A:an=6n-9
B:an=14n+6
C:an=6n+14
D:an=9n-6

Answers

Answer 1

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

a + 2d = 9 (1)

a + 2(6) = 9

a + 12 = 9

a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9


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Alegbra problems

[tex] \frac{96}{38} \frac{25}{45} [/tex]

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A spider is climbing up a wall. During the daytime it climbs 5 cm, but then slips back 2 cm during the night. If it started climbing from the bottom of the wall on the morning of January 30th, on what day would it first reach a height of 74 cm?

Answers

Answer:

28 days

Step-by-step explanation:

Hope this helps. Good Luck!!

The spider would reach the height of 74 cm on 24th February by the end of the day.

What is expression in mathematics?

An expression in mathematics is a combination of terms both constants and variables.

Given is that a spider is climbing up a wall. During the daytime it climbs 5 cm, but then slips back 2 cm during the night.

The net distance covered by the spider in one day -

D{n} = 5 cm - 2 cm = 3cm

The spider would reach 74 cm up in -

{x} = 74/3

{x} = 24.7

This means that the spider would reach the height of 74 cm on 24th February by the end of the day.

Therefore, the spider would reach the height of 74 cm on 24th February by the end of the day.

To solve more questions on expressions, visit the link below -

https://brainly.com/question/27911936

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Answer:

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Step-by-step explanation:

9 1⁄8 − 4 3⁄8 =
subtract

Answers

Answer:

4.75 or 4 3/4

Step-by-step explanation:

Simple, 9 1/8- 4 3/8 first you want to take away 1 from 9 and add 8/8 to 1/8 because 8/8 is 1 whole once you done this you want to do 8 9/8-4 3/8 and get 4 6/8 now simplify by 2 and get 4 3/4.

What are the coordinates of Image A (-2,7) after a dilation with a center at the origin and a scale factor of 3?

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Answers

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Step-by-step explanation:

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Answer:

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How many factors does (2x + 4)(x - 3)(7x - 5) have?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Given that :

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Depth of dive from initial elevation = 122.4 feets below sea level

The elevation after the dive :

Initial elevation + depth of dive

984.6 + 122.4

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Which expression is equivalent to -4x - 36?

Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

5x+2y=-10

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----------------

5x+2y=-10

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-----------------------

5x+2y=-10

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-------------------

-x=-142

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Answer:

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2-  3x+y+−y=66+−y

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Step-by-step explanation:

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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A florist sold 12 flower bouqets yesterday, including 2 daisy bouquets. Based on past data, how many of the next 18 boquetes sold should you expect to be daisy bouquets?

Answers

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Step-by-step explanation:

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Answers

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Answers

Answer:

161

Step-by-step explanation:

Given the functions

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3.
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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make sure you write the variable answer first    

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! WILL MARK THE BRAINLIEST! 20 PTS!
A rectangular prism has a volume of 198 cm³. A rectangular pyramid has the same height as the rectangular prism and a base that is congruent to the base of the rectangular prism. What is the relationship between the volume of the rectangular prism and the rectangular pyramid?
a. The volume of a rectangular pyramid is 3 times the volume of a rectangular prism. The volume of the rectangular pyramid is 594 cm3.
b. The volume of a rectangular pyramid is 13 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
c. The volume of a rectangular pyramid is 12 the volume of a rectangular prism. The volume of the rectangular pyramid is 99 cm3.
d. The volume of a rectangular pyramid is 2 times the volume of a rectangular prism. The volume of the rectangular pyramid is 396 cm3.

Answers

Answer:

i need an answer to have you figured it out yet

Step-by-step explanation:

Answer:

B - (Probably)

Step by step explanation:

the Volume of the Pyramid = Volume of Prism / 3

198cm^3 / 3  = 66cm^3

Apply the distributive property to create an equivalent expression.
4(3+1/4c-1/2d

Answers

Answer: 4(3+1)/4c-q^1/2d i think tht is how you do it...

Step-by-step explanation:

apply the distribuitive property to create an equivalent expression

4

(

3

+

1

)

4

c

q

1

2

d

Write the problem as a mathematical expression.

apply the distribuitive property to create an equivalent expression

4

(

3

+

1

)

4

c

q

1

2

d

Simplify.

4

(

3

+

1

)

4

c

q

2

d

Add

3

and

1

.

4

4

4

c

q

2

d

Simplify the denominator.

Tap for more steps...

4

4

8

c

d

q

2

d

Multiply

4

by

4

.

16

8

c

d

q

2

d

Multiply the numerator by the reciprocal of the denominator.

16

2

d

8

c

d

q

Multiply

16

2

d

8

c

d

q

.

Tap for more steps...

32

d

8

c

d

q

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