UPSKILL MATH PLUS
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Learn moreA sequence is a function defined on the set of natural numbers \(\mathbb{N}\). A sequence is a function of form , where \(\mathbb{R}\) is the set of all real numbers.
If the sequence is of the form \(a_1\), \(a_2\), \(a_3\), \(a_4\), ... then we can associate the function with the sequence \(a_1\), \(a_2\), \(a_3\), \(a_4\), ... by \(f (n) = a_n\), \(n = 1, 2, 3,\) …
Let us solve a problem of sequence with a function to understand this concept.
Example:
The general term for a sequence is defined as . Find the first three terms \(a_1\), \(a_2\), .
Let us substitute the natural number \(n = 1, 2, 3, 4, ...\) in the given equation.
The first three terms are:
, where \(n = 1, 2, 3, 4, ...\)
Therefore, the first three terms are , and .