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?
1 answer:
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
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437.4 meters squared
Step-by-step explanation:
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Step-by-step explanation: