Explicit formula — role?
Directly computes the n-th term without previous terms.
Sequence — definition?
An ordered list of numbers indexed by natural numbers.
Recurrence relation — mechanism?
Defines each term based on previous terms.
Sequence — definition?
Ordered list of numbers with a rule.
Explicit formula — purpose?
Directly computes the $n$-th term.
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→∞.
Answer 9 questions on Sequence Analysis and Computation.
1. What is a sequence element in the context of sequences?
2. What is the primary role of an explicit formula in the context of sequences?
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