3. Compute ao, a1, a2, a3, a4 the of the following sequences. (a) ao = 2, a, = 3an-1 for n 2 1. (b) ag = -5, a, = an-1 +5 for n 2 1. (c) ao = 0, a, = an-1 +n forn2 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Problem 3: Sequence Computation

Compute \( a_0, a_1, a_2, a_3, a_4 \) for the following sequences.

#### (a) 
- Given: \( a_0 = 2 \)
- Recursive formula: \( a_n = 3a_{n-1} \) for \( n \geq 1 \)

#### (b) 
- Given: \( a_0 = -5 \)
- Recursive formula: \( a_n = a_{n-1} + 5 \) for \( n \geq 1 \)

#### (c) 
- Given: \( a_0 = 0 \)
- Recursive formula: \( a_n = a_{n-1} + n \) for \( n \geq 1 \)
Transcribed Image Text:### Problem 3: Sequence Computation Compute \( a_0, a_1, a_2, a_3, a_4 \) for the following sequences. #### (a) - Given: \( a_0 = 2 \) - Recursive formula: \( a_n = 3a_{n-1} \) for \( n \geq 1 \) #### (b) - Given: \( a_0 = -5 \) - Recursive formula: \( a_n = a_{n-1} + 5 \) for \( n \geq 1 \) #### (c) - Given: \( a_0 = 0 \) - Recursive formula: \( a_n = a_{n-1} + n \) for \( n \geq 1 \)
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