Question 1135562: Determine whether the sequence converges or diverges. If it converges, give the limit. (1 point)
48, 8, four divided by three , two divided by nine , ...
choices below
Converges; two hundred and eighty eight divided by five
Converges; 0
Diverges
Converges; -12432
Found 2 solutions by Edwin McCravy, ikleyn: Answer by Edwin McCravy(20059) (Show Source):
You can put this solution on YOUR website!
48, 8, four divided by three , two divided by nine , ...
48, 8, 4/3, 2/9, ...
8÷48 = 8/48 = 1/6
(4/3)÷8 = (4/3)(1/8) = 4/24 = 1/6
(2/9)÷(4/3) = (2/9)(3/4) = 5/37 = 1/6
So this is an infinite geometric series with a = 48 and r = 1/6
So it converges to
Edwin
Answer by ikleyn(52798) (Show Source):
You can put this solution on YOUR website! .
The question in the post asks if the given sequence converges or diverges.
It DOES NOT ask about the sum of this sequence, which is totally different question.
The correct answer is: this sequence converges, and its limit is 0 (zero, ZERO).
The answer choice is the second line of the answers option list.
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