Question 4, Let {an} be a sequence of real number. n starts from 1. Let a1 =1 and for any n 2 2, we have a, = 2a,-1+1. (a) Find an explict formula for an, (Hint consider b, = an +1, b, should be a sequence with nice property) (b) Find the partial sum, Sn, of an, ie Sn =E=1ª;. %3D %3D

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 15E
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Question 4, Let {an} be a sequence of real number. n starts from 1. Let
a1 =1 and for any n 2 2, we have a, = 2a,-1+1.
(a) Find an explict formula for an. (Hint consider b, = an +1, b, should be
a sequence with nice property)
(b) Find the partial sum, Sn, of an, ie S, = 2=14i.
%3D
Transcribed Image Text:Question 4, Let {an} be a sequence of real number. n starts from 1. Let a1 =1 and for any n 2 2, we have a, = 2a,-1+1. (a) Find an explict formula for an. (Hint consider b, = an +1, b, should be a sequence with nice property) (b) Find the partial sum, Sn, of an, ie S, = 2=14i. %3D
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