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?

The first term is a₁ = 2.

Each subsequent term is the reciprocal of the square of the preceding term.

2nd term:

a₂ = 1/2² = 1/4

3rd term:

a₃ = 1 / (1/4) ² = 1 / (1/16) = 16

4th term:

a₄ = 1/16² = 1/256

5th term:

a₅ = 1 / (1/256) ² = 1 / (1/65536) = 65536

The positive square root of the fifth term is

√ (65536) = 256

Answer: 256