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emmainna [20.7K]
3 years ago
7

Which of the following sequences are convergent

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

option A  and E

Step-by-step explanation:

Arithmetic sequence converge,  only  in the case only when r=0

otherwise , arithmetic sequence goes increasing or decreasing at a constant rate.

So we ignore second and fourth option

If |r|<1 then geometric sequence converge

if |r|>1 then geometric sequence diverge

In option A, r= 1/5  that is less than 1  so it converge

In option C, r= -2 , |r| > 1 so geometric sequence diverge

In option E, r= 2/3 that is less than 1  so it  converges

Answer is option A  and E




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3 years ago
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Please try to follow me, as I demonstrate a method of solution. 
This could get complicated.  I'll try to go slowly, and you must
stop me if I do anything that's not clear.

Ready ?

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3 years ago
One exterior angle of a regular pentagon has a measure of (2x). What is the value of x?
777dan777 [17]

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