Karteikarten: Sequence Analysis and Computation — 10 Karten

Explicit formula — role?

Directly computes the n-th term without previous terms.

Sequence — definition?

Ordered list of numbers with a rule.

Sequence — definition?

An ordered list of numbers indexed by natural numbers.

Explicit formula — purpose?

Directly computes the $n$-th term.

Recurrence relation — mechanism?

Defines each term based on previous terms.

Recurrence relation — role?

Defines a term based on previous ones.

Sequence graph — purpose?

Visualizes sequence behavior over n.

Monotonicity — sequence?

Sequence consistently increasing or decreasing.

Growth pattern — examples?

Linear, exponential, or polynomial.

Limit — sequence concept?

Value sequence approaches as n→∞.