7. The sequence (an) = {41} is strictly increasing for increasing n. Show this to be true by +1 (i) analysing the behaviour of the difference of successive terms, an+1 − An⋅ (ii) analysing the behaviour of the ratio of successive terms, an+1/an.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 1SE: Discuss the meaning of a sequence. If a finite sequence is defined by a formula, what is its domain?...
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n
{an} = { 1 + ₁
n+ 1
7. The sequence {an} =
is strictly increasing for increasing n. Show this to be true by
(i) analysing the behaviour of the difference of successive terms, an+1
(ii) analysing the behaviour of the ratio of successive terms, an+1/an.
- an.
Transcribed Image Text:n {an} = { 1 + ₁ n+ 1 7. The sequence {an} = is strictly increasing for increasing n. Show this to be true by (i) analysing the behaviour of the difference of successive terms, an+1 (ii) analysing the behaviour of the ratio of successive terms, an+1/an. - an.
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