Sequences
Definition of arithmetic sequence.
What is a sequence of numbers such that difference between the consecutive terms is constant.
13, 10, 7, 4, ____,
What is 1.
The sequence in which common difference is used.
What is arithmetic sequences.
d =
What is the common difference.
an = a1 + (n-1)d
What is the explicit formula for arithmetic sequences.
Definition of geometric sequences.
What is a sequence of numbers such that the terms have a common ratio between them.
8, 8.5, 9, 9.5, 10, ____, ____, ...
What is 10.5 and 11.
The sequence in which common ratio is used.
What is geometric sequences.
r =
What is the common ratio.
An explicit formula for an arithmetic sequence is
an=5 + 4(n)
What is the value of term 1?
What is 9
The variable d and how you find it
What is the common differences used for arithmetic sequences. Subtract a term from the next term.
a4 = _____ if a sequence has a formula of an = a(n-1) +5 and a1 = 7
What is 22.
2, -8, 32, -128, 512,...
What is the common ratio of -4.
an =
What is the nth term.
an = r * a(n-1)
What is the recursive formula for geometric sequences.
The variable r and how you find it
What is the common ratio used for geometric sequences. Divide a term by the previous term
a7 for the following sequence:
81, 27, 9, 3,...
What is a7 = 1/9
11.5, 15.25, 19, 22.75,......
What is a common difference of 3.75
a1 =
What is the first term of the sequence.
an = a(n-1) + d
What is the recursive formula for arithmetic sequences.
Explain a real world application for both arithmetic and geometric sequences.
Answers vary but need an arithmetic and geometric real world application: At teacher discretion.
a5 of the following sequence:
-5, 15, -45,...
What is a5 = -405
5, 12.5, 31.25, 7.125
What is the common ratio of 2.5
an-1 =
What is the previous term than the nth term.
an = a1 * r(n-1)
What is the explicit formula for geometric sequences.