HP 40gs HP 39gs_40gs_Mastering The Graphing Calculator_English_E_F2224-90010.p - Page 102
The Expert: Sequences & Series, Defining a generalized GP and the sum to n terms for it.
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THE EXPERT: SEQUENCES & SERIES Defining a generalized GP and the sum to n terms for it. If we define our GP using memory variables then it becomes far more flexible. The advantage of this method is that you now need only change the values of A and R in the HOME view to change the sequence. Defining a series (sum to n terms of a sequence) is fairly straight-forward using a similar method. Note the reference to U1 in the definition of U2. Once U2 is defined in this way you can change both U1 & U2. by simply storing new values into A and R from the HOME view. Solving sequence problems Questions like "What term is the first to be greater than 10 000?" or "When does Sn first exceed 10 000?" can be answered in the NUM view. Simply move into the N column, make a guess as to the term you require and type it in. The table jumps to that value. For example, in answer to the first question, we might estimate N=35. However we would find that U1(35) is far too large. By successive guesses, we find that T15 is the one we were seeking. The second problem is as easily solved in this way. 15 102
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