Question

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 positive square root of the fifth term?

Answer 1

In the given sequence, 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