Given a term in an arithmetic sequence and
the common difference find the 100th term.


a14= 102
d = 10


Please help, i’m struggling.

Answers

Answer 1

Answer:

100th term = 962

Step-by-step explanation:

You need  to find the first term of the sequence

The formula to use is

[tex]a_{n} = a_{1} + (n - 1)d[/tex]    In your problem, n = 14.  So,

[tex]102 = a_{1} + (14 - 1)10\\102 = a_{1} + 130\\a_{1} = -28\\\\[/tex]

Now you can find the 100th term.  n = 100, first term = -28 and d = 10

[tex]a_{100} = -28 + (100 - 1)10\\ = -28 + 990\\ = 962[/tex]

100th term = 962


Related Questions


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Answers

Answer:

11

Step-by-step explanation:

r=6+5

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if my answer helps please mark as brainliest

Answer:

r = 11

Step-by-step explanation:

Add 5 to both sides of the equation:

6 + 5 = r - 5 + 5

Add the numbers

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Move the variable to the left

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Answers

Answer:

(3x + 4)

Step-by-step explanation:

[tex]required \: binomial \\ \\ = \frac{6 {x}^{2} - 7x - 20}{(2x - 5)} \\ \\ = \frac{6 {x}^{2} - 15x + 8x - 20}{(2x - 5)} \\ \\ = \frac{3x(2x - 5) + 4(2x - 5)}{(2x - 5)} \\ \\ = \frac{ \cancel{(2x - 5)}(3x + 4)}{ \cancel{(2x - 5)}} \\ \\ = (3x + 4)[/tex]


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Answers

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Step-by-step explanation:

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Answers

Answer:

x=6

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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      = 14 - 3

      = 11

Answer:

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Step-by-step explanation:

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Answers

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B
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C С
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Answers

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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:

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1 point
Captionless Image

Answers

Answer:

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Step-by-step explanation:

Answer

That's simple the answer is  

Step-by-step explanation:

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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:

Please mark me brainliest, 5 stars, and a thanks! Have a great day!

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Step-by-step explanation:

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Answers

Answer:

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i need help to solve please

Answers

Answer:

y = 8; x = 6 [tex]\frac{7}{8}[/tex] ; n = 1 [tex]\frac{2}{23}[/tex] ; p = 55

Step-by-step explanation:

First proportion

// How to solve it

// firstly, multiply both sides by y, so that y would be in numerator

[tex]\frac{16}{16} * y[/tex] = [tex]\frac{8}{y} * y[/tex]

// now we get

[tex]\frac{16y}{16}[/tex] = 8

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