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AURORKA [14]
4 years ago
8

He first term of a sequence is 2, and each subsequent term is the reciprocal of the square of the preceding term. what is the po

sitive square root of the fifth term?
Mathematics
1 answer:
vaieri [72.5K]4 years ago
6 0
In the given sequence, <span>each subsequent term is the reciprocal of the square of the preceding term. 

We know that the first term is 2, this means that the second term is:
1/(2)^2 which is 1/2
The third term in the sequence would be:
1/(1/4)^2 = 1/(1/16) = 16
The forth term in the sequence would be:
1/(16)^2 = 1/256
The fifth term in the sequence would be:
1/(1/256)^2 = 1/(1/65536) = 65536

Now, the question asks for the positive root of the 5th term, this means the positive root of 65536 which is 256</span>
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Information gotten from the data include

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