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505-555 (Easy)|   Sequences|      
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kingbucky
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The infinite sequence b_1, b_2, ..., b_n, ... is defined such that b_1 04 Mar 2025, 04:52
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C
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Difficulty:

15% (low)

Question Stats:

82% (01:11) correct 18% (01:22) wrong based on 186 sessions

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The infinite sequence \(b_1, b_2, ..., b_n, ...\) is defined such that \(b_1 = 1\), \(b_2 = 3\), and \(b_n = (b_{n-1})^{b_{n-2}}\) for all \(n \geq 3\). What is \(b_4 - b_3\)?

(A) 6
(B) 15
(C) 24
(D) 42
(E) 68
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C
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The infinite sequence b_1, b_2, ..., b_n, ... is defined such that b_1 04 Mar 2025, 08:11
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b3= (b2)^b1
b3= (3)^1 = 3

b4= (b3)^b2= (3)^3= 27

b4-b3= 27-3= 24

Answer: C
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The infinite sequence b_1, b_2, ..., b_n, ... is defined such that b_1 27 Jun 2026, 00:22
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