Lesson 8-Sequences Group 1 by Roser Gine https://padlet.com/rgine16/1x7e1gja0gv4qhlr Categorizing data sets en-us 2021-03-15 14:17:33 UTC 2023-02-24 15:58:39 UTC hello@padlet.com In this padlet, you will explore sequences of numbers that exhibit a specific pattern: rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310877921 1. Create your group's definition of sequence
2. Where have you encountered sequences in your school career?
3. Consider triangular differences for discrete power functions
4. Relate to ideas learned in Calculus]]> 2021-03-15 14:19:49 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310877921 Definitions rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310902915 In your group, settle upon a precise definition of a sequence of numbers.]]> 2021-03-15 14:24:08 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310902915 Revisiting? rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310912547 Where have you encountered sequences before, and in what capacity?]]> 2021-03-15 14:25:54 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310912547 rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310920509 2021-03-15 14:27:20 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310920509 Explaining rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310925219 Explain how the Triangular Differences process is related to the rate of change of your sequence function.]]> 2021-03-15 14:28:11 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310925219 Calculus rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310932704 Explain how findings from this activity are related to differentiation rules for continuous functions]]> 2021-03-15 14:29:28 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1310932704 Question rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1330468763 Is there a way of figuring out whether or not there is a coefficient present in your function?

]]> 2021-03-19 16:15:20 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1330468763 Challenge Activity rgine16 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1330475718 2021-03-19 16:16:53 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1330475718 A list of numbers (in an order) with a pattern that can be described with a formula https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338177380 2021-03-22 14:30:15 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338177380 Discrete Structures https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338182441 (association with series, and elements)]]> 2021-03-22 14:31:08 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338182441 Algebra II and Calculus II https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338189759 Associating a sequence with a series]]> 2021-03-22 14:32:22 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338189759 Mathematical Analysis https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338195768 Convergence or divergence, equivalent limits]]> 2021-03-22 14:33:20 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338195768 x^3 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338228296 2021-03-22 14:38:34 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338228296 x^4 https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338283212 2021-03-22 14:47:19 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338283212 We need an equal amount of differences as the degree of the power (i.e. a cubic function requires 3 differences). https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338290179 2021-03-22 14:48:29 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1338290179 If the initial outputs are multiples of the input's kth power, then there is a coefficient in the function. https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1364221143 2021-03-29 14:17:09 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1364221143 If a=1, then the kth derivative of the function is equal to k!. https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1364236175 2021-03-29 14:20:35 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1364236175 The number of differences required to find the constant difference is equal to the number of times the derivative must be taken to find the constant difference. In other words, the constant in the kth difference (k!) is equal to the kth derivative. https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1364241892 2021-03-29 14:21:49 UTC https://padlet.com/rgine16/1x7e1gja0gv4qhlr/wish/1364241892