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3 years ago

6

Find the equation of the linear function represented by the table below in slope-intercept form.

1 answer:

olganol [36]3 years ago

7 0

Y=-4x-4
This is because the slope, or m value, is -4 and the y-intercept, or b value, is -4 as well.

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Identify the sequence as arithmetic, geometric, both, or neither. 50, –50, 50, –50, . . . both arithmetic geometric neither desc

stellarik [79]

Answer:

<em>The sequence is geometric.</em>

Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is: 50, -50, 50, -50,.................

Lets assume, the terms as $a_{1}, a_{2}, a_{3}, a_{4},...........$

<em><u>Checking for common difference:</u></em>

$a_{2}-a_{1}= (-50)-(50)= -100\\ \\ a_{3}-a_{2}=(50)-(-50)=100\\ \\ a_{4}-a_{3}=(-50)-(50)=-100$

As there is no common difference, so it's not an arithmetic sequence.

<u><em>Checking for common ratio</em></u>

$\frac{a_{2}}{a_{1}}=\frac{-50}{50}=-1\\ \\ \frac{a_{3}}{a_{2}}=\frac{50}{-50}=-1\\ \\ \frac{a_{4}}{a_{3}}=\frac{-50}{50}=-1$

As there is a common ratio, so it's a geometric sequence.

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4 years ago