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Answer 1

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

What is a sequence?

• 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.

Know more about sequences here:

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