2) 2° +2¹+2²+...+ 2n = 2n+¹ -1 Remember: 2⁰=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Mathematical Induction is a proof technique used to prove the statement in the form: Vn € N, P (n)
There are two parts to a proof by induction:
Basis Step: Show P(n) is true if P(1) is true
Inductive Step: Show the statement Vk € N, P(k) ⇒ P(k + 1) is true
Transcribed Image Text:Mathematical Induction is a proof technique used to prove the statement in the form: Vn € N, P (n) There are two parts to a proof by induction: Basis Step: Show P(n) is true if P(1) is true Inductive Step: Show the statement Vk € N, P(k) ⇒ P(k + 1) is true
2) 2° +2¹+ 2² + ... + 2n = 2n+1 − 1
Remember: 2⁰-1
Transcribed Image Text:2) 2° +2¹+ 2² + ... + 2n = 2n+1 − 1 Remember: 2⁰-1
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