Answer:
<em>The common ratio of the geometric sequence is -4</em>
Step-by-step explanation:
<u>Geometric Sequence</u>
A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

Where r is the common ratio.
We are given three terms of a geometric sequence:
18,-72,288,...
To find the common ratio, just divide each term by the previous term:

Make sure it's a fixed number and test with the third term:

Since both numbers coincide, the common ratio of the geometric sequence is -4
C is correct.
Reasoning: If the top number (numerator) is smaller that the bottom number (denominator), it means it’s smaller than 1. If, on the other hand, the numerator is bigger than the denominator, it means it’s more than 1. If youre ever unsure, devide the numerator by the denominator. This will turn the number into a decimal, and be easier to see. 8/9 = 0.88 repeated, and 3/7 = 0.4285. Therefore 8/9 is larger than 3/7. This can also be written as 8/9 > 3/7.
Good luck!
Answer:
Hello
Step-by-step explanation:
Howare you doing
Answer:
Any line with slope 1/4 like y=1/4x -5.
Step-by-step explanation:
Parallel lines never cross and therefore have the same exact slope. Since slope intercept form is y=mx+b and m is slope, then y=1/4x+2 has a slope of 1/4. Any line with a slope of 1/4 will be parallel. Example: y=1/4x - 5
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