2. A sequence qn is defined by q1 = 1 and qn+1 = 2qn+2" for all n ≥ 1. Suppose you want to prove the formula qn = n.2n-1 by induction on n. In your induction step, what algebraic identity will you have to prove? (You don't actually need to prove anything or check any identities to answer this problem; just give the algebraic identity that the proof woul need.)

2. A sequence qn is defined by q1 = 1 and qn+1 = 2qn+2" for all n ≥ 1. Suppose you want to prove the formula qn = n.2n-1 by induction on n. In your induction step, what algebraic identity will you have to prove? (You don't actually need to prove anything or check any identities to answer this problem; just give the algebraic identity that the proof woul need.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

See similar textbooks