HP Prime Graphing Wireless Calculator Instrukcja Użytkownika Pobierz pdf (Strona 362)

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18 Sequence app

The HP Prime Sequence app allows you to dene sequences either explicitly or recursively. Recursive

denitions can dene U(N) in terms of only U(N − 1) or both U(N − 1) and U(N − 2). Similarly, a recursive

denition can dene U(N + 1) in terms of only U(N), or it can dene U(N + 2) in terms of both U(N) and U(N + 1).

Finally, N can start at 1 (the default value), 0, or any positive integer.

In Symbolic view, the rst two boxes contain the rst two numerical values in the sequence, if necessary. For

an explicitly dened sequence, the values can be empty. For a recursively dened sequence, you must enter

at least one value, depending on the nature of your denition.

NOTE: The labels for the values change, depending on the starting value for N selected in the Option box.

In the third box, enter the symbolic denition.

In the Option box, select the terms for the symbolic denition. By default, U(N) is selected, which means that

the symbolic denition is for U(N) in terms of N, U(N-1), both U(N-1) and U(N-2), or some combination of the

previous three options. The other option is U(N+k), which means that the symbolic denition is for either U(N

+1) in terms of U(N) or U(N+2) in terms of U(N+1) and U(N).

Next to the Option box, another box allows you to enter the starting value for N. This value can be 0 or any

positive integer.

In the following example, the Fibonacci sequence is dened as U1(1) = 1, U1(2) = 1, and U1(N) = U1(N − 1) +

U1(N − 2). The Option value is the default U(N), and the starting value of N is 1. This example is used in Getting

started with the Sequence app on page 315.

In the following example, the Fibonacci sequence is dened as U1(1) = 1, U1(2) = 1, and U1(N +2) = U1(N) +

U1(N + 1). The Option value U(N+k) is select, and the starting value of N is 1.

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