Iterative process:
This is a process which involves a formula for a list of values. Here, this process begins with a starting value and which when substituted into the formula gives the next value. Again this result is substituted into the same formula to get the next consequent values in the series.
Factor trees and Newton’s method are the examples of iterative process.
Recursive formula:
Recursion is an iterative process where the initial value is given and gives the following or next term by applying the same process repeatedly. While finding a particular value in a series using the process of recursion, the immediate previous value should be known.
A recursion formula includes two things.
(1) The initial value which is usually represented by a1.
(2) The recursion formula for in which is in terms of the previous term an-1.
Explicit formula:
Explicit formula is a formula which allows us to compute the values of a sequence directly. Explicit formula is an application of the recursive formula but it is most useful than the recursive formula.
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