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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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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