2 years ago

How DID I use a pattern to solve

Mathematics

1 answer:

Georgia [21]2 years ago

6 0

Multiplied by 10 more each time

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What is the thirty-second term of the arithmetic sequence -12, -7, -2, 3, ... ? Show your work.

anzhelika [568]

The thirty-second term is 143

Further explanation:

As it is already given that the given sequence is an arithmetic sequence

We have to find the common difference first

So,

$a_1=-12\\a_2=-7\\a_3=-2\\a_4=3$

$d=a_2-a_1=-7-(-12)=-7+12=5\\a_3-a_2=-2-(-7)=-2+7=5$

The common difference is 5.

And first term is -12

The explicit formula for arithmetic sequence is:

$a_n=a_1+(n-1)d\\Here,\\a_n\ is\ nth\ term\\a_1\ is\ first\ term\\d\ is\ common\ difference$

Putting the values in the formula

$a_n=-12+(n-1)(5)\\a_n=-12+5n-5\\a_n=-17+5n$

Putting n=32 in explicit formula

$a_{32}=-17+5(32)\\=-17+160\\=143$

The thirty-second term is 143

Keywords: Common difference, Arithmetic Sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

6 0

2 years ago

24 is 0.6% of what number

algol [13]

Hello! The answer would be,
38.4
Since if you do 24x0.6 you would get 14.4 which then you would add
14.4 with 24 and get 38.4
Hope I've helped and feel free to ask me questions!

Sincerely, Kaylie :)

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3 years ago

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A geometric sequence is defined by the general term tn = 4096 8n - 1 , where n ∈N and n ≥ 1. What is the recursive formula of th

zhenek [66]

Hello her is a solution :

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2 years ago

³√125×2³ is? please help no idea

atroni [7]

The answer is 40

³√125=5
2^3= 8
5x8= 40

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For a conic expressed by r= ke/1+e sin theta , which point is located at the pole?

Gwar [14]

F is located at the pole

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