Question

Is the sequence {1, 2, 4, 8, 16,…} a function? Explain. Yes, because each input is a natural number with a multiple output numbers in the sequence. No, because there are no input values paired with a single output number in the sequence. No, because there are multiple input values paired with a single output number in the sequence. Yes, because each input is a natural number with a single output number in the sequence.

Answer 1

Yes, (1, 2, 4, 8, 16,...) is a function and defined by $f(n) = 2^{n}$

So, it is a function since each input is a natural number with a single output in the sequence.