We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
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What is a sequence?</h3>
- A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
- The length of the series is defined as the number of items (which could be infinite).
- Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
- Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
- The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.
Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.
Using its position, explicit formulas can compute a(n).
Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
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