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Homework 5 on Sequences and Business Arithmetic Part 2
Your Score:
Q1)
The first five terms of an arithmetic sequence are:
1
2
3
4
5
234
228
222
216
210
What is the
n
th
term formula?
n
+
After how many terms will the sequence be less than
-500
?
Q2)
Term
7
of an arithmetic sequence is:
39
Term
20
of the same sequence is:
130
Find the first term and the common difference:
a =
d =
Q3)
An arithmetic progression has a first term of
-30
and a common difference of
3
Find the sum of the first
500
terms.
Sum =
Q4)
Term
21
of an Arithmetic Progression is
122
The sum of the first
39
terms of the same progression is
4512.3
Find the first term and the common difference.
a =
d =
Q5)
Find term
12
of the following sequence:
0.2
0.5
1.25
3.125
7.8125
. . . . .
Q6)
Term
6
of a geometric sequence is
-2048
Term
3
the same sequence is
-32
Find the first term and the value of the ratio.
a =
r
1
=
List the first five terms of the sequence below:
Q7)
If possible, find the sum to infinity of the following series.
If the series is divergent, enter "d".
a)
3
1.2
0.48
0.192
0.0768
S
inf
=
b)
3
4.2
5.88
8.232
11.5248
S
inf
=
c)
3
-1.2
0.48
-0.192
0.0768
S
inf
=
Q8)
Term
4
of a geometric sequence is
13.5
Term
2
the same sequence is
24
Find the sum to infinity of this series:
a =
r =
S =
Q9)
You're saving up for a boat which costs
£240,000
You deposit
£23,400
at the start of each year into an account.
The account pays compound interest at
3.100%
paid at the end of each year.
a) What is the value of the investment at the end of year
6
b) How long will it take to save up for the boat?
years
Challenge Question
Q10)
The mortgage on a house is
£468,000
The bank charges
0.210%
on the outstanding debt each month.
The monthly repayments are
£2,600.00
How many month will it take to repay the loan?
months
years
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