The price of a good changes according to the recurrence equation 2pt + Pt-1 = 30 where pt is the price, in pounds, on the tth day. (i) If the price on the first day is £7, how does pt behave in the long-term? (ii) After how many days will the price be within a penny of its limiting value?

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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The price of a good changes according to the recurrence equation
2pr + Pi-1 = 30
where pi is the price, in pounds, on the tth day.
(1) If the price on the first day is £7, how does pi behave in the long-term?
(ii) After how many days will the price be within a penny of its limiting value?
Transcribed Image Text:The price of a good changes according to the recurrence equation 2pr + Pi-1 = 30 where pi is the price, in pounds, on the tth day. (1) If the price on the first day is £7, how does pi behave in the long-term? (ii) After how many days will the price be within a penny of its limiting value?
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