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What describes a recursive sequence A a sequence that has a common difference between terms B a sequence that has a common ratio between terms C a sequence relating a term to one?
A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.A: Un+1 = Un + d is recursive with common difference d.B: Un+1 = Un * r is recursive with common ratio r.C: The definition seems incomplete.
What is the difference between any two successive terms in a arithmetic sequence?
It is the "common difference".It is the "common difference".It is the "common difference".It is the "common difference".
Can zero be the common difference for arithmetic progression?
yes. A zero common difference represents a constant sequence.
What is the definition of an arithmetic sentence?
An arithmetic sequence is a sequence of numbers such that the difference between successive terms is a constant. This constant is called the common difference and is usually denoted by d. If the first term is a, then the iterative definition of the sequence is U(1) = a, and U(n+1) = U(n) + d for n = 1, 2, 3, ... Equivalently, the position-to-term rule which defines the sequence is U(n) = a + (n-1)*d for n = 1, 2, 3, ...
What is the definiton of a sequence in which the difference between any two consecutive terms is the same?
The definition is, as given in the question, a sequence where the difference between any pair of consecutive terms is the same,.
