1) The document discusses geometric sequences using the equation an=a1 * r n-1, where an is the last term, a1 is the first term, r is the common ratio, and n is the position. 2) It provides an example of calculating interest earned over 10 and 75 years by putting 100 euros in an account earning 2.5% monthly interest. 3) It solves a word problem about calculating the number of books 40 workers would produce in a month, given information about previous numbers of workers and books produced.

2. We use the following equation: an=a1 * r n-1 an: last term a1: first term r: common ratio n: position Geometric sequences and the real world: Finance

3. So let’s say you put in 100€ in your Mercantil account when you are 15. It gains a 2.5% interest monthly. How much money will you have in 10 years? If you are 85 how much money would you have?

4. 100x(1+2.5/100)1 100x(1.025)1 Total per month=102.5 100x(120+2.5/100)1 100x(120.025)1 Total after 10 years= 1200.25

5. 100x(840+2.5/100)1 100x(840.025)1 Total Money when you are 85=84002.5

6. A new company of books had open, they currently have 2 workers and together they produce 3 books, when the company had 1 worker they produced 1 book per day. When they got a 3 worker they produced 5 books per day.How many books will 40 workers make on a month?

7. Un=1+(40-1)2 Un=1+39x2 Un=79 79 books per day times 30 days 79x30 = 2370 books on a month.

8. Geometric Sequences: Whiffen, Glen, Marjut Mäenpää, James Foley, Michael Haese, and Sandra Haese. &quot;Sequences and Series.&quot; Mathematics for the International Student : Mathematical Studies SL Second Edition . By Mal Coad. 2nd ed. South Australia: Haese & Harris Publications, 2010. 445,475-78. Print. Arithmetic Sequences: Hanan, Mary. &quot;Meet the Boy Too Big for His Mom's SUV - ABC News.&quot; ABCNews.com - Breaking News, Latest News & Top Video News - ABC News . Web. 17 Jan. 2012. <http://abcnews.go.com/Health/MedicalMysteries/story?id=5466774>. &quot;Tallest Teenager Living (male) - Size - Explore Records - Guinness World Records.&quot; Guinness World Records - Home of the Longest, Shortest, Fastest, Tallest Facts and Feats . Guinness World Records. Web. 17 Jan. 2012. <http://www.guinnessworldrecords.com/tallest-teenager-living-(male)/>.