a_(1),a_(2),a_(3),a_(4),dots
where the a_(n) are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers. Sequences may be defined in various ways:
By listing, and appealing (via the three dots) to your intuition. Suppose the sequence is
(1)/(2),(2)/(5),(3)/(10),(4)/(17),(5)/(26),(6)/(37),dots
Then the n-th term is
a_(n)=
Explicitly. For example, suppose a_(n)=n^(n). Then a_(1)= a_(2)= , and a_(3)=
Sequences:A sequence Is
a1,a2,a3,a4,..
where the an are real numbers. Technically, a sequence is a function whose domain is the set of natural numbers, and whose range is a subset of the real numbers.Sequences may be defined in various ways: By listing,and appealing (via the three dots) to your intuition. Suppose the sequence is 123456 2'5'1017'26'37
Then the n-th term is
an
and a3
Explicitly.For example,suppose an=n.Then a