Sequences Explored

What is a sequence? Watch the following video to refresh your memory on what a sequence is. Sequence This! Match the sequence to the nth term: Discovering sequences using Geometry! Observe the patterns in the number triangle below.Then try to predict what the next bottom two rows of the triangle will be. 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 Observation Report In 2-4 sentences briefly describe how Geometry played a role here. What makes a sequence Geometric?(It may not be what you think) Watch the video and answer the question to follow. YOUR TURN! Answer the next set of questions based on the video. No Yes No No The nth term: Find it! 96 6250 16 Yes 25 Notation : How to write the relationship. Here are some examples worked out. (Take notes Using an EXPLICIT formula: Find the 8th term of the given geometric sequence using the EXPLICIT formula.(n = 8) -4374 Observe the following pattern. Triangular Numbers A ‘Triangular’ number is a number that can be represented by that number of DOTS arranged in a n equilateral triangular pattern (See Image above). For example the number 3 can be arranged as a triangle with two DOTS along any edge. Starting with 3 , construct the five numbers in the triangular number sequence. Sequences Using the Graphing Calculator Calculator Help with sequences Exit Ticket Part I : Finding an Explicit Formula Use what you learned in this lesson along with the notes you took and answer the following question: 4 5 Exit Ticket Part II: What is the 8th term of this sequence? The 8th term of the sequence is 1562500.