Geometrical aspect +∞ k=1 +00 k=1 1 ? Algebraic aspect 1 2k 1 1 1 + + 4² 43 1 3 1 1 + + + = 1 2² 23 (³+√5)* - (² + √5) + (³+√³)² + (³+√5) +-5-²2√5 After realizing the meaning above Find the algebraic aspect of this pattern I will post the best solution with your name and your photo.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Geometrical aspect
Art Of Mathematics
+∞
1 1 1
[***
=+ + +
4 4² 43
k=1
+∞
Σ
k=1
Algebraic aspect
1
?
1
+
1
+
1
23
+
1
3
= 1
Σ (³ + √5)² = (3 + √5) + (3 + √5)² + (³ + √5)² + =
+=
8
8
After realizing the meaning above
1
5-2√5
Find the algebraic aspect of this pattern
I will post the best solution with
your name and your photo.
Transcribed Image Text:Geometrical aspect Art Of Mathematics +∞ 1 1 1 [*** =+ + + 4 4² 43 k=1 +∞ Σ k=1 Algebraic aspect 1 ? 1 + 1 + 1 23 + 1 3 = 1 Σ (³ + √5)² = (3 + √5) + (3 + √5)² + (³ + √5)² + = += 8 8 After realizing the meaning above 1 5-2√5 Find the algebraic aspect of this pattern I will post the best solution with your name and your photo.
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