4. Write the first 6 terms of the following recursive sequences. (a) an 10an-1 for n ≥ 1 with a₁ = 10. (b) an 3an-1+2 for n ≥ 2 with a₁ = 1. (c) an = n(an-1 + an-2) for n ≥ 3 with a₁ = 0 and a2 = 1. (d) an = n k=1 ak-1an-k for n ≥ 1 with ao = 1.
4. Write the first 6 terms of the following recursive sequences. (a) an 10an-1 for n ≥ 1 with a₁ = 10. (b) an 3an-1+2 for n ≥ 2 with a₁ = 1. (c) an = n(an-1 + an-2) for n ≥ 3 with a₁ = 0 and a2 = 1. (d) an = n k=1 ak-1an-k for n ≥ 1 with ao = 1.
Chapter12: Sequences, Series And Binomial Theorem
Section12.1: Sequences
Problem 12.1TI: Write the first five terms of the sequence whose general term is an=3n4.
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Question
Transcribed Image Text:4. Write the first 6 terms of the following recursive sequences.
(a) an
10an-1 for n ≥ 1 with a₁ = 10.
(b) an= 3an-1+2 for n ≥ 2 with a₁ = 1.
(c) an = n(an-1 + an-2) for n ≥ 3 with a₁ = 0 and a2 = 1.
(d) an =
n
k=1
ak-1an-k for n ≥ 1 with ao = 1.
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