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dimulka [17.4K]
4 years ago
9

50 POINTS, HELP

Mathematics
2 answers:
vazorg [7]4 years ago
8 0

Answer:

a(n) = -351+8(n-1)

Step-by-step explanation:

This is an arithmetic sequence.  Each new term is equal to the sum of the previous term and 8.

The expression you want is   a(n) = -351+8(n-1)

kolezko [41]4 years ago
6 0

Answer:

Option D. f_{n} = 8n - 359

Step-by-step explanation:

The given sequence is -351, -343, -335, -327, -319......

As we can see there is a common difference of 8 in each successive term.

T₂ - T₁ = -343 - (-351 ) = 351 - 343 = 8

T₃ - T₂ = -335 - ( 343 ) = 343 - 335 = 8

Therefore, the given sequence is an arithmetic sequence.

Now the explicit formula of an arithmetic sequence is represented by

f_{n}= a+(n-1) d

a = first term of the sequence

n = number of terms

d = common difference

f_{n}= -351+(n-1) 8

f_{n} = -351 + 8n - 8

f_{n} = 8n - 359

Therefore, option D. f_{n} = 8n - 359 is the answer.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

<em>The </em><em>equation</em><em> </em><em>of </em><em>line </em><em>is </em><em>given </em><em>by </em>

<em>first </em><em>we </em><em>can </em><em>find </em><em>slope </em><em>(</em><em>m</em><em>) </em>

<em>=</em><em> </em><em>(</em><em>y2 </em><em>-</em><em> </em><em>y</em><em>1</em><em>)</em><em> </em><em>/</em><em> </em><em>(</em><em> </em><em>x2</em><em> </em><em>-</em><em> </em><em>x1</em><em>)</em>

<em>=</em><em> </em><em>3</em><em>4</em><em>-</em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em><em>+</em><em>1</em>

<em> </em><em>=</em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em>

<em>Now </em><em>the </em><em>equation </em><em>is</em>

<em>y </em><em>-</em><em> </em><em>y1 </em><em>=</em><em> </em><em>m </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>x1) </em>

<em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>/</em><em>1</em><em>1</em><em> </em><em>(</em><em> </em><em>x </em><em>+</em><em>1</em><em>1</em><em>)</em>

<em>11 </em><em>(</em><em> </em><em>y </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em> </em><em>(</em><em>x </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>

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<em>which </em><em>is </em><em>the </em><em>required </em><em>equation </em>

3 0
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