Determine if the sequence below is arithmetic or geometric and determine the

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

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lya took one hour to drive from his apartment to Philips Arena and back. The return drive took 8 minutes less than the trip to t

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An hour is 60 minutes.

The trip to the arena + The return drive = 60 mintues.

Since the return drive is 8 minutes shorter, if you added 8 minutes it would be the same length as the trip to the arena.

The return drive + 8 minutes = The trip to the arena

Let's represent these two equations with variables.

x + r = 60
r + 8 = x

What we do now is use substitution. Since r + 8 = x, we can replace x from the first equation with r + 8.

x + r = 60
r + 8 + r = 60
2r + 8 = 60
2r = 52
r = 26

Then use r in an earlier equation to find a.

r + 8 = x
26 + 8 = x
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