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zavuch27 [327]
1 year ago
5

Which of the following are equations for the line shown below? Check all that

Mathematics
1 answer:
Maurinko [17]1 year ago
4 0
ANSWER: A & B

FOR COORDINATES (2,2)
A) 2-2=-0.25(2-2)
0=0
B) 2-3=-0.25(2+2)
-1=-1

FOR COORDINATES (-2,3)
A) 3-2=-0.25(-2-2)
1=1
B) 3-3=-0.25(-2+2)
0=0

WHY ITS NOT C and D

COORDINATES (2,2)
C) 2+3=-0.25(2-2)
5=0 ZERO DOES NOT EQUAL 5
D) 2-3=-0.25(2-2)
-1=0 ZERO DOES NOT EQUAL -1

COORDINATES (-2,3)
C) 3+3=-0.25(-2-2)
6=1 SIX DOES NOT EQUAL 1
D) 3-3=-0.25(-2-2)
0=1 ZERO DOES NOT EQUAL 1
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<u>EXPLANATION</u>

In general, the common ratio of a Geometric Sequence is given by:

r = \frac{a_{n+1}}{a_{n}}

We can find the common ratio using any two consecutive terms of the geometric sequence by dividing the subsequent term by the previous term.

The given sequence is -2,6,-18,54

Using the first two terms the common ratio is

r =  \frac{6}{ - 2}  =  - 3

We could also used the second and third terms to get

r =  \frac{ - 18}{6}  =  - 3

and so on and so forth.

Therefore the common ratio is -3.

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