Sharp EL9900C EL-9900C - Page 99
Graphing Sequences
UPC - 074000016873
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Chapter 6: Advanced Graphing Features - Advanced Keyboard 4. Graphing Sequences The sequence graph mode can store and simultaneously draw three graph equations u(n), v(n), and w(n). Variables u, v, and w are entered as @ u (or v, w). Use X to enter the natural number n. A sequence is an ordered set of numbers with a defined relationship. The recursive sequential formulas can be described as u =u +d n n-1 u =u ×r n n-1 and/or where u is the n-th term, d is the common difference, and r is the n ratio. In many occasions however, the term before u (i.e., one n-1 term before u ) is not known. In such cases, the explicit formulas n must then be derived as: u = u + d × (n - 1) n 1 u = u × rn-1 n 1 and/or where u is the n-th term, u is the first term of the sequence, d is n 1 the common difference, and r is the ratio. A sequence {2, 4, 8, 16, 32, ...} may suggest the following recursive sequence expression: u = 2 × 2n-1 n or it may also suggest the following non-recursive expression: u = 2n n The calculator can plot sequential graphs in three different schemes, as follows: n-based (Time) The un values will be plotted against the n value. 89