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MAT-152 9.3b: Geometric Sequences and Series

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application some of geometric we're going to label this after 7 right we're going to represent this two ways we can recognize it a couple of ways it could look like with some value in one on the bottom have a great time are to the eye doctor very similar I am with this one- are to the end what year did information to get through an example find the sum Sigma 12 formula for a pretty function where x 0.3 what I want you to realize about not forgiving you massive right here 0.3 M have that TV ad again here who are there a semi shut up get me to put in the first term by term I get to work outside 0.38 first term minor ratio Manhattan all over one of our value 1 - 0.3 and that's really it I do want to reiterate though what everything is 4 x 0.3 0.3 0.3 find out in my calculator proximately 1.714 let's talk about geometric so we don't forget where are value right normally we can have a sigma with an Infinity right i - 1 what I want to hear what I want to illustrate here it is on I am we're going to have either the case where are you less than or greater than 1 fraction apple empanada maybe 1/2 and thinking I might I think honestly really really calculator cooking I really really want it number and if you need to talk to you later to do that what happens to fractions together and right here a little arrow here hungry when I have a number that is greater than 1 bigger and bigger disappointed Infinity what that mean when R is greater than 1 it won't have a son because if I was what's the one that formula and I wanted to see what kind of happening 1 - 1/1 but now we're interested in seeing a city 8311 - you know that when R is less than 1 when the ratio is less than 1 Nikki's right here are to the end gets really really small and hero the death insurance I want what is the formula talking about infinite. what's an example of it find the song big Monster High and we had any 4 x to the N minus one what I can't recognize here is that 0.6 as a ratio and using that everyone that means 1 1/1 minus r 0.6 100.6 154 / 0.41 - 6.4 paper example I was given the task of the first times 3 plus 0.03 + 0.3 and let me have fun... What I want to do first. how many is right out just a little bit this is the same as saying Street 3 times 0 3 times 0.1 3 * 0.1 cubed what are ratios go ahead and let me know ASAP on the bottom we have 1 - 10.1 when I simplify this out I got 3 / 0.9 1030 / 9 let's do it I'm trying to apply it back to our realistic send compounded monthly years and years compounded remember that formula the rate of the number of compounding the number of compounding the time in years the first deposit made in compound into it and that we can represent deposit have one plus the rate which is 0.06 the number of the night here we have 12 and that we are forever. Taking 24 months to go through when we're talking about that second deposit now we're talking for 24 months they were evaluating with a 23 at this time and what's important to understand about that and it's not going to be I also when we add 1 / 12 is a 1.224 and over here and what we can do... Right continuing and so forth plastic mount outside that say 1.0 time and now we actually have every piece that we need for our formula what we can call this right here R-value and hear the last deposit ra value all of that in mind after 7 outside 1.05 anusol outside of bracket minus parentheses 1.000 / 1 - 1 hi Nana what you get 1277.96 that's the balance at the end of the 2-year okay thanks

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MAT-152 9.3b: Geometric Sequences and Series

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