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2 years ago

What is the slope of the line between 5,-6 and -1,8?

Mathematics

2 answers:

Strike441 [17]2 years ago

6 0

the answer will be 14/6. simple.

Leona [35]2 years ago

4 0

The slope of a line is given by the equation:
(y2-y1)/(x2-x1)

In this question: y2=8, y1=-6, x2=-1, and x1=5. Plug in and solve:
(8- -6)/(-1-5)
14/-6
7/-3

The answer is -7/3.

Hope this helps!!

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1 year ago

Find the explicit formula for the sequence? -1,4,-16,64......

Ede4ka [16]

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

$a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4$

The explicit formula for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the values of r and a1

$a_n = -1 . (-4)^{n-1}$

Hence

The explicit formula for given sequence is: $a_n = -1 . (-4)^{n-1}$

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

#learnwithBrainly

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