Sequences! A PowerPoint Presentation just for you! By the ever electrifying… Pete Bokma and Randal Reiman.

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Presentation transcript:

Sequences! A PowerPoint Presentation just for you! By the ever electrifying… Pete Bokma and Randal Reiman

I’m a horse! I’ll be your guide for this wonderful journey through the amazing world of sequences! I’m so happy, I can hardly contain myself!!!

Arithmetic Here’s an arithmetic sequence that all my horse friends love… -20, -10, 0, 10, 20, 30, 40… My friend, Sugarface, figured out a closed-form solution for it… T = (n – 1) x 10 Pretty cool, right? Well with that solution we can figure out the 50 th term… n 50 T = (50 – 1) x 10

Arithmetic Part Deux If you thought this excitement was over, you were sorely mistaken… Let’s create a formula for the sum of n terms… S =.5(10)n + [ (10)] x n Ok, once again, this is getting ridiculously exciting… Let’s use our formula for DUM DUM DUM the sum of 25 terms… S = n (10)(25) + [ (10)] x

Geometric rocks my socks Yo, check it… 2, 6, 18, 54, 162, 486, 1458… closed-form in the heazy… T = 2 (3) 50 th term anyone? n 50 T =4.79 E 232 (3) n

Geometric = NOT DONE YET More intense sequences from me… Mr. Horse a formula for the sum of n terms… S = muhahahahahahahaha the sum of 25 terms… S = n 25 2 (1 – 3 ) 1 – 3 ______ n 2 (1 – 3 ) 1 – E 11

I am STILL a horse!

Mixed Now this is what I call a mixed sequence… 0, 1, 5, 12, 22, 35, 51… CLOSED-FORM SOLUTION!!! T = 1.5n - 3.5n + 2 YEEEEEE-HA!!!!! It’s time to find that crazy 50 th term… n 50 T = 2 1.5(50) - 3.5(50)

That was a hoot! We really must do it again sometime… THE END!