Exercise 1
Arithmetic Sequences
©Ezy Math Tutoring | All Rights Reserved
6
www.ezymathtutoring.com.au
Chapter 1: Series & Sequences
1) Calculate the value of d in the
following sequences
a) 2, 4, 6, 8, 10, ...
b) 1, 4, 7, 10, ...
c) 4, ____, 16, _____, 28
d) 16, 12, 8, 4, ...
e) 64, ____, _____, 28, ...
2) Calculate the value of a in the
following sequences
a) ____, 6, 10, 14, ...
b) ____, ____, 15, 18, ...
c) ____, ____, 22, ____, ____,
43
d) ____, ____, ____76, 68, ...
e) ____, ____, ____, 7, ____,
____, ____, 3
3) Find the 5th term of the sequence
with first term 4 and a common
difference of 3
4) Find the 25 term of the sequence
th
with first term 6 and a common
difference of 7
5) Find the common difference of the
sequence with a first term of 5 and
a twentieth term of 195
©Ezy Math Tutoring | All Rights Reserved
Exercise 1: Arithmetic Sequences
6) Find the first term of the
arithmetic sequence whose tenth
term is 14 and whose twentieth
term is 62
7) An arithmetic sequence has a third
term of ‫ݔ‬, and a fifteenth term of
3‫ ݔ‬− 2.
a) What are the values of a
and d?
b) List the first three terms of
the sequence when ‫ = ݔ‬4
c) List the first 3 terms of the
sequence when ‫ = ݔ‬−1
8) An arithmetic sequence has a
common difference of 4 and a
twentieth term of 102. What is
the ninth term of this sequence?
9) There are two arithmetic
sequences: A and B. A10 = B28 = 40,
whilst the value of their first term
is the same. If the common
difference of sequence A is 3, list
the first 4 terms of each sequence
10) Arithmetic sequence A has a first
term of (-20) and a twentieth
term of 56. Arithmetic sequence
B has a first term of 40 and a 5th
term of 24. Which term number
gives the same value for both
sequences, and what is this
value?
7
www.ezymathtutoring.com.au