1. Applications of Sequences and Series Learning Objective: to apply sequences and series to real world situations Warm-up (IN) HW/INB Check! When you’re finished…grab a quiz!

2. Notes! Ex 1 – find the sum of the positive even integers to 100 2 +4 +6 +…+100 Arith! Ex 2 – how many multiples of 4 are there between 25 and 75? 28, 32, 36,,…, 72 Arith! We need to find n

3. Ex 3 – a pump removes 5% of the water in a pool each minute. What % remains after 10 minutes? How much is in the pool initially? 100% How much is in the pool the next minute? 95% Then 95% of that, etc. How much is in the pool after 10 minutes?

4. Ex 4 – John rented an apt in 2003 for $600 a month. If his monthly rent was increased 5% at the end of each year, how much was his monthly rent in 2009? 2003 2004 2005

5. Ex 5 – a stack of cans has 12 cans on the top layer, 13 on the 2 nd layer, and so on. If there are 20 cans on the bottom layer, how many total cans are on the display? 12 +13 +14 +…+20 First we need to find n Now, sum!

6. HW – Applications worksheet #1-7 Out – None! Summary – Sequences and series are useful because… Don’t forget about POW!!