Problem 5. they all start at n = 1. (a) an = (b) bn = 3n 1 + 2n (−1)n-1 5n List the first six terms of the sequence given by the formula. Assume (c) cn = 1 (n + 1)! (d) a₁ = 6, = an+1 an n

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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**Problem 5.** List the first six terms of the sequence given by the formula. Assume they all start at \( n = 1 \).

(a) \( a_n = \frac{3^n}{1+2^n} \)

(b) \( b_n = \frac{(-1)^{n-1}}{5^n} \)

(c) \( c_n = \frac{1}{(n+1)!} \)

(d) \( a_1 = 6, \, a_{n+1} = \frac{a_n}{n} \)
Transcribed Image Text:**Problem 5.** List the first six terms of the sequence given by the formula. Assume they all start at \( n = 1 \). (a) \( a_n = \frac{3^n}{1+2^n} \) (b) \( b_n = \frac{(-1)^{n-1}}{5^n} \) (c) \( c_n = \frac{1}{(n+1)!} \) (d) \( a_1 = 6, \, a_{n+1} = \frac{a_n}{n} \)
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