Help!!

why might you choose to write a recursive formula rather than an explicit formula to define a sequence

a. you need to know the 54th term in the sequence

b. the sequence is neither arithmetic or geometric

c. you need to know the value of three non-sequential terms in the sequence

d. the sequence is strictly geometric

Respuesta :

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:

https://brainly.com/question/6561461

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