IB Math Studies Topic 2: Sequences and Series You should be able to do the following things on the test: Find the next term of any arithmetic or geometric sequence Find the common difference of an arithmetic sequence Find the common of a geometric sequence Find the nth term of any arithmetic or geometric sequence Find how many terms there are in an arithmetic or geometric sequence Create a specific number of terms between terms in any arithmetic sequence Create a specific number of terms between terms in any geometric sequence Find the sum of an arithmetic or geometric sequence/series Find an arithmetic or geometric sum written in sigma Σ notation applied problems using arithmetic or geometric sequences and series 1. A woman deposits $100 into her son’s savings account on his first birthday. On his second birthday she deposits $125. On his third birthday, she deposits $150, and so on. a) How much money would she deposit into her son’s account on his 17th birthday? b) How much in total would she have deposited after her son’s 17th birthday? 2. The population of Bangor is growing each year. At the end of 1996, the population was 40,000. At the end of 1998, the population was 44,100. Assuming that these annual figures follow a geometric progression, calculate a) the population of Bangor at the end of 1997. b) the population of Bangor at the end of 1992. 3. In 2000 Herman joined a tennis club. The fees were £ 1200 a year. Each year the fees increase by 3%. a) Calculate, to the nearest £ 1, the fees in 2002. b) Calculate the total fees for Herman who joined the tennis club in 2000 and remained a member for five years. 4. The first term of an arithmetic sequence is -16 and the eleventh term is 39. Calculate the common difference.
IB Math Studies Topic 2: Sequences and Series You should be able to do the following things on the test: Find the next term of any arithmetic or geometric sequence Find the common difference of an arithmetic sequence Find the common of a geometric sequence Find the nth term of any arithmetic or geometric sequence Find how many terms there are in an arithmetic or geometric sequence Create a specific number of terms between terms in any arithmetic sequence Create a specific number of terms between terms in any geometric sequence Find the sum of an arithmetic or geometric sequence/series Find an arithmetic or geometric sum written in sigma Σ notation applied problems using arithmetic or geometric sequences and series 1. A woman deposits $100 into her son’s savings account on his first birthday. On his second birthday she deposits $125. On his third birthday, she deposits $150, and so on. a) How much money would she deposit into her son’s account on his 17th birthday? b) How much in total would she have deposited after her son’s 17th birthday? 2. The population of Bangor is growing each year. At the end of 1996, the population was 40,000. At the end of 1998, the population was 44,100. Assuming that these annual figures follow a geometric progression, calculate a) the population of Bangor at the end of 1997. b) the population of Bangor at the end of 1992. 3. In 2000 Herman joined a tennis club. The fees were £ 1200 a year. Each year the fees increase by 3%. a) Calculate, to the nearest £ 1, the fees in 2002. b) Calculate the total fees for Herman who joined the tennis club in 2000 and remained a member for five years. 4. The first term of an arithmetic sequence is -16 and the eleventh term is 39. Calculate the common difference.
Topic%202_Sequences%20and%20Series.docx