Question

Is a sequence a function? What is the difference between a sequence and the function f(x) with the same equation? Do the following problems to explore the difference. Let us consider the difference between t(n)=2.3ⁿ and f(x)=2.3ˣ.

a) Yes, f(x) is a function.
b) No, t(n) is not a function.
c) Yes, both are functions.
d) No, neither is a function.

Answer 1

A sequence is a list of numbers in a specific order, while a function is a rule that assigns each element in the domain to a unique element in the range.

Step-by-step explanation:

A sequence is a list of numbers in a specific order, while a function is a rule that assigns each element in the domain to a unique element in the range.

In other words, a sequence is a set of ordered pairs, while a function maps values from one set to another.

For example, the sequence t(n) = 2.3ⁿ represents a list of numbers where each term is obtained by raising 2.3 to the power of n.

On the other hand, the function f(x) = 2.3ˣ represents a rule that takes an input value x and returns the corresponding output value obtained by raising 2.3 to the power of x.

The difference between the two is that t(n) is a sequence, while f(x) is a function.

So the correct answer is b) No, t(n) is not a function.