Questions : 1. Find the 17th term of sequence 3, 9, 27, 81, and so on.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Problem Solving (Sequences/Series Number) Questions : 1. Find the 17th term of sequence 3, 9, 27, 81, and so on. 2. Which of term of the sequence 7, 15, 23, is 255 ? 3. Find the 35th term of the Fibonacci sequence 1, 1, 2, 3,… 4. Find the sum of the sum sequence 4, 8, 12,… 120. 5. Find the sum of the number sequence 3, 6, 12, 24…until 12,288.
EXPLICIT FORMULA
S
C
Fibonacci sequence's explicit formula:
I
C
(1+v5
2
(1-V5
H
A
Fn=
V5
L
E
Explicit formula means, a formula that allows
direct computation of
any term for a sequence.
E
Transcribed Image Text:EXPLICIT FORMULA S C Fibonacci sequence's explicit formula: I C (1+v5 2 (1-V5 H A Fn= V5 L E Explicit formula means, a formula that allows direct computation of any term for a sequence. E
Solution:
20
20
1+ V5
F20
V5
1-V5
2
= 6765
%3D
50
50
1+ 5
V5
1-5
1
F50
2
2.
= 12,586, 269,020
Transcribed Image Text:Solution: 20 20 1+ V5 F20 V5 1-V5 2 = 6765 %3D 50 50 1+ 5 V5 1-5 1 F50 2 2. = 12,586, 269,020
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