Mathematics 20-1
Assignment #1 – Sequence & Series Name:
Solve all questions algebraically using the methods taught in this course. Guess and check is not a
valid method. Unless stated otherwise, leave all answers as exact values.
Use the following information to answer Question #1.
Four sequences, each with five terms are given below.
Sequence 1
Sequence 2
Sequence 3
Sequence 4
1. Complete the following statements: [2]
The geometric sequence with common ratio, r, where is _________.
The arithmetic sequence with common difference, d, where is _________.
2. Given the following sequences, determine the general term, , and determine the value of the
indicated term. [4]
a)
b)
3. An arithmetic sequence has and . Determine the following: [2]
a) the common difference
b) the value of the first term
1, 1, 3, 5, 7-- - -
111 11
,,, ,
2481632
--
1, 1 .1, 1 . 2 , 1 . 3, 1 . 4
11 3
,0, , 1,
22 2
---
0,r<
0,d>
n
t
...,27,20,13,6
25
t
...,
4
3
,
2
3
,3,6 -
-
8
t
11
5=t
63
18 =t
26
