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The set of all distinct (different) terms of a sequence is called the range of the sequence. The range of sequence… […]
According to Cantor, sets are collections of objects with finite or infinite elements. For example, the set of fingers of a hand has finite elements, whereas there are infinite elements in the set of natural numbers. […]
Data can be descriptive (characteristics) or numerical (numbers). Let us take a look at some of the most prevalent data types. There are two types of data: Qualitative and Quantitative. […]
प्रसिद्ध गणितज्ञ और खगोलशास्त्री आचार्य आर्यभट्ट जी ने, 5वीं शताब्दी के मध्य में, भारत में शून्य का आविष्कार किया था। आर्यभट्ट ने ही सबसे पहले ५वीं शताब्दी में शून्य को एक संख्या के रूप में इस्तेमाल करना शुरू किया था, और बाद में यह पूरे विश्व में प्रचलित हो गया। […]
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. […]
Two sequences and are said to be equal or identical if and only if n-th terms of both sequences are equal, that is, […]
A sequence is said to be a null sequence if its limit is zero, that is, a sequence that converges to a limit of zero is called the null sequence. […]
A sequence is said to be a constant sequence if all terms of a sequence are the same. A sequence {sn} defined by sn = a for all n∈N is called a constant sequence. […]
A sequence is said to be a finite sequence if the range of the sequence is finite. A sequence is said to be an infinite sequence if the range of the sequence is infinite. […]
A sequence in a set S is a rule which assigns to each natural number a unique element of S. A sequence whose range is a subset of R is called a real sequence or a sequence of real numbers. […]
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