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Fantom [35]
2 years ago
9

Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form.

Mathematics
1 answer:
Nana76 [90]2 years ago
6 0

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

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Using this diagram, select the pair of lines that must be parallel.
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The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours. How far is she from the end of the
melomori [17]
In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
                                             = 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
                                                           = 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
                                                                                   = 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
                                                            = (91 - 60)/8 miles
                                                             = 31/8 miles
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So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.
7 0
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