Mathpedia
Limit of a Sequence: Definition and Examples
Limit of a Sequence: If a sequence {} tends to a limit , then we say that is the limit of a sequence {}, and write . In other words, “A real number is the […]
Sequences
Mathpedia
Bounded Sequence Example
Bounded Sequence Example – Find whether the sequence is bounded or unbounded (bounded below, bounded above, or none)… […]
Sequences
Bounded Sequence in Mathematics
Bounded Below Sequence – A sequence {} is said to be bounded below if the range set of {} is bounded below. A sequence is bounded below if there exists a fixed real number , […]
Mathpedia
Upper Bound and Lower Bound Examples and Definitions
Upper Bound and Lower Bound We will define the upper bound and lower bound with examples first, followed by the supremum and infimum. Definition of Upper Bound: Intervals – For each of the intervals [a, […]
Mathematics & Statistics
Subsequence of a Sequence in Mathematics
Introduction of Subsequence of a Sequence in mathematics, mathematical definition of subsequence, subsequence examples, theorem, … […]
Mathematics & Statistics
Monotonic Sequence: Definition, Examples, Properties
What is a monotonic sequence? Definition, Examples, Properties, Monotonically Increasing Sequence, Monotonically Decreasing Sequence, … […]
Mathpedia
Sequence in hindi – अनुक्रम: परिचय, परिभाषा, निरूपण, उदाहरण
Sequence in hindi: अनुक्रम: परिचय, परिभाषा, निरूपण, उदाहरण, वास्तविक संख्याओं के अनुक्रम (Sequences of Real Numbers)… […]
Sequences
Range of Sequence in Mathematics
The set of all distinct (different) terms of a sequence is called the range of the sequence. The range of sequence… […]
Sequences
Basic Operations on Sequences
We know that the operations of addition, subtraction, multiplication, and division can all be defined using real numbers. These operations can easily be applied to a set of sequences. […]
Mathpedia
Equality of Two Sequences
Two sequences and are said to be equal or identical if and only if n-th terms of both sequences are equal, that is, […]