Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)
an = 4n cos(7nπ)
1 answer:
Answer:
The sequence diverges.
Step-by-step explanation:
A sequence
converges when
is a real number.
In this question, the sequence given is:

The cosine is always going to be between -1 and 1, so for the convergence of the sequence, we look it as:
. So

Since the limit is not a real number, the sequence diverges.
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Answer:
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Step-by-step explanation:
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Answer:
19,600
Step-by-step explanation:
0-49=50 numbers
n=50
r=3
C(n,r)=n!/(r!(n-r)!)
=50!/(47!)(3!)
C(n,r)=C(50,3)
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= 19600
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