Full text
... Remarks: (1), (2), (3) are well-known properties of Dedekind sums. (See [1], p. 62.) (4) through (8) are well-known properties of linear recurrences of order 2. (See [2], p. 193-194). (9) can be proved via (6) or by induction on n. THE MAIN RESULTS Theorem 1: Let {un } be a linear recurrence of orde ...
... Remarks: (1), (2), (3) are well-known properties of Dedekind sums. (See [1], p. 62.) (4) through (8) are well-known properties of linear recurrences of order 2. (See [2], p. 193-194). (9) can be proved via (6) or by induction on n. THE MAIN RESULTS Theorem 1: Let {un } be a linear recurrence of orde ...
16(4)
... Over the years, much use has been made of Pascal's triangle, part of which is shown in Table 1.1. The original intention was to read the table horizontally, when its nth row gives, in order, the coefficients of xm {m = 0, 1, ..., n) for the binomial expansion of (1 + x)n . Pargeter [1] pointed out t ...
... Over the years, much use has been made of Pascal's triangle, part of which is shown in Table 1.1. The original intention was to read the table horizontally, when its nth row gives, in order, the coefficients of xm {m = 0, 1, ..., n) for the binomial expansion of (1 + x)n . Pargeter [1] pointed out t ...
Math III_ Midterm Review 2013 Answer Section
... What is the relative maximum and minimum of the function? ____ 34. a. The relative maximum is at (–1.53, 8.3) and the relative minimum is at (1.2, –12.01). b. The relative maximum is at (–1.53, 12.01) and the relative minimum is at (1.2, –8.3). c. The relative maximum is at (–1.2, 8.3) and the rela ...
... What is the relative maximum and minimum of the function? ____ 34. a. The relative maximum is at (–1.53, 8.3) and the relative minimum is at (1.2, –12.01). b. The relative maximum is at (–1.53, 12.01) and the relative minimum is at (1.2, –8.3). c. The relative maximum is at (–1.2, 8.3) and the rela ...
