I must improve my Sequence and Series Worksheet
1
Sequences and Series
Do all questions. Give all non exact answers to 3 significant figures.
Submit to Math Rep by Thursday (5 Feb Sci). Monday (2 Feb Arts)
 3
N
1.
Find
r 0
r 1
 N  2r  , simplifying your answer.
[4]
2.
Jasmine decides to put $100 at the start of January 2009 into a bank account which pays a
compound interest at a rate of 2% per month on the last day of the month. She then puts a
further $100 into the account at the start of each subsequent month. She also decides that
she will not draw any money out of the account, but just leave it, and any interest, to
build up.
How much in total is in the account at the end of the year 2010?
[4]
3.
The sum of the first n terms of a series is n 2  kn , where k is a constant.
Find an expression for the nth term of the series.
Hence show that the terms in the series follow an arithmetic progression.
[Hint: Check out page 4 of Ch 11 lecture notes]
Answers: 1.
3N 1  1
2. 3100
6
3. 2n1+k, common diff = 2
[4]
Ans: $3100 (3 s.f)