8. (i) Terry deposits 1000 euros in a local saving bank at annual interest rate of 8% compound annually. Define recursively the compound amount A(n) she will have in her account at the end of n years. (ii) There are n guests in a meeting hall. Each person shakes hands with everybody else exactly once. Define recursively the number of handshakes h(n) that occur, and solve the obtained recursive equation.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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8.
(i) Terry deposits 1000 euros in a local saving bank at annual interest rate of 8% compound
annually. Define recursively the compound amount A(n) she will have in her account at the
end of n years.
(ii) There are n guests in a meeting hall. Each person shakes hands with everybody else exactly
once. Define recursively the number of handshakes h(n) that occur, and solve the obtained
recursive equation.
Transcribed Image Text:8. (i) Terry deposits 1000 euros in a local saving bank at annual interest rate of 8% compound annually. Define recursively the compound amount A(n) she will have in her account at the end of n years. (ii) There are n guests in a meeting hall. Each person shakes hands with everybody else exactly once. Define recursively the number of handshakes h(n) that occur, and solve the obtained recursive equation.
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