Thus a variable can be considered as a quantity which assumes a variety of values in a particular problem. Many items in economics can take on different values. Mathematics usually uses letters from the end of the alphabet to represent variables.
The number of ordered elements (possibly infinite ) is called the length of the sequence. Unlike a set, order matters, and a particular term can appear multiple times at different positions in the sequence.
An arithmetic sequence is one in which a term is obtained by adding a constant to a previous term of a sequence. So the
n
th term can be described by the formula
a
n
=
a
n
−
1
+
d
.
A geometric sequence is one in which a term of a sequence is obtained by multiplying the previous term by a constant. It can be described by the formula
a
n
=
r
⋅
a
n
−
1
.
Key Terms:
sequence: An ordered list of elements, possibly infinite in length.
finite: Limited, constrained by bounds.
set: A collection of zero or more objects, possibly infinite in size, and disregarding any order or repetition of the objects that may be contained within it.
Answers & Comments
Answer:
Thus a variable can be considered as a quantity which assumes a variety of values in a particular problem. Many items in economics can take on different values. Mathematics usually uses letters from the end of the alphabet to represent variables.
Step-by-step explanation:
The number of ordered elements (possibly infinite ) is called the length of the sequence. Unlike a set, order matters, and a particular term can appear multiple times at different positions in the sequence.
An arithmetic sequence is one in which a term is obtained by adding a constant to a previous term of a sequence. So the
n
th term can be described by the formula
a
n
=
a
n
−
1
+
d
.
A geometric sequence is one in which a term of a sequence is obtained by multiplying the previous term by a constant. It can be described by the formula
a
n
=
r
⋅
a
n
−
1
.
Key Terms:
sequence: An ordered list of elements, possibly infinite in length.
finite: Limited, constrained by bounds.
set: A collection of zero or more objects, possibly infinite in size, and disregarding any order or repetition of the objects that may be contained within it.
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