Question

How many number of terms a countable sequence have ?

Answer 1

Answer:

Hello dear here's your answer

Mark as Brainliest

Subscribe my YouTube gajendra bishnoi ke ideas

According to Rosen, an infinite set A is countable if |A|=|Z+| which in turn can be established by finding a bijection from A to Z+.

Also, a sequence is defined as a function from Z+ (or {0}∪Z+) to some set.

With the above, a sequence is certainly enumerable. However, it need not be a bijection, e.g. Fibonacci(1) = Fibonacci(2) = 1.

This implies that not every sequence is countable which seems counterintuitive