alleryStart learning →A sequence is treated as a function. What is the domain of that function?
AThe set of all rational numbers
BA subset of the counting numbers
CA subset of the negative integers
DThe set of all real numbers
Answer & Solution
Correct answer: B. A subset of the counting numbers
1. A sequence is a function, so it has a domain like any other function.
2. That domain is a subset of the counting numbers, which is why terms are indexed by position 1, 2, 3 and so on.
3. Real numbers and rational numbers are far too large for the domain, since a sequence has no term at position 1.5.
4. Negative integers are not counting numbers, so they cannot index the terms either.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.1 Sequences and Their Notations_
Keep practising Sequences, Probability and Counting Theory
Browse all Sequences, Probability and Counting Theory questions for B.Sc Mathematics, or explore more Mathematics topics.
Related questions
A bin holds 3 bunnies, 5 dogs and 6 bears. A child picks 5 toys at random. What is the proA store has 8 phones and 3 of them are defective. A couple buys 2 phones at random. What iTwo six-sided number cubes are rolled. What is the probability that the sum is greater thaThe probability that a horse wins a race is 1/9. What is the probability that it loses?One card is drawn from a standard deck. What is the probability of drawing a heart or a spWhat makes two events mutually exclusive?One card is drawn from a standard deck. What is the probability of drawing a heart or a 7?When finding the probability that E or F occurs, why is the probability of E and F subtrac