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gogolik [260]
3 years ago
11

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics
1 answer:
joja [24]3 years ago
7 0

Answer:

  Converges; 51 3/7

Step-by-step explanation:

The common ratio is -10/60 = (5/3)/-10 = (-5/18)/(5/3) = -1/6.

Then the sum of the sequence is given by ...

  S = a1/(1 -r) = 60/(1 -(-1/6))

  S = 60/(7/6) = 360/7

  S = 51 3/7

_____

If you erroneously evaluate the formula for the sum using +1/6 as the common ratio, then you will get S=60/(1-1/6) = 60·6/5 = 72.

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<u>Step-by-step explanation:</u>

The given information forms a trapezoid.

The AB is the upper base (a) and its length is 200 feet.

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3 years ago
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[ ( 2 x^2 - x - 5 ) ] / [ ( x + 2 ) ( x - 3 ) ]

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<u>Step-by-step explanation</u>:

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= > [ ( x + 1 ) ( x - 3 ) + ( x - 1 ) ( x + 2 ) ] / [ ( x + 2 ) ( x - 3 ) ]

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