8. Note the following: 1.2' +2. 22 + 3. 2ª + ... +n- 2" = (n – 1) - 2n+1 +2, for all integers n> 1. An out line of a proof by induction has been provided for you. Finish the induction proof (ie., fill in the blanks and finish the induction step): Base Case: (n =. LHS RHS Induction Hypot hes is: Assume true for some positive integer n = k, i.e., Induction Step: Prove this is true for n =k +1, i.e., show (Now finish the induction step.) LHS =

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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8.
Note the following:
1.2' +2. 22 + 3. 2ª + ... +n. 2" = (n – 1) - 2*+1 +2, for all integers n > 1.
An out line of a proof by induction has been provided for you.
Finish the induction proof (ie., fill in the blanks and finish the induction step):
Base Case: (n =.
LHS
RHS
Induction Hypot hesis: Assume true for some positive integer n = k, i.e.,
Induction Step: Prove this is true forn = k+1, i.e., show
(Now finish the induction step.)
LHS =
Transcribed Image Text:8. Note the following: 1.2' +2. 22 + 3. 2ª + ... +n. 2" = (n – 1) - 2*+1 +2, for all integers n > 1. An out line of a proof by induction has been provided for you. Finish the induction proof (ie., fill in the blanks and finish the induction step): Base Case: (n =. LHS RHS Induction Hypot hesis: Assume true for some positive integer n = k, i.e., Induction Step: Prove this is true forn = k+1, i.e., show (Now finish the induction step.) LHS =
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