Question

the points shown on thw graph represent the numbers in a geometric sequence. what is the initial value?

Answer 1

The horizontal axis represents the first, second, third, ect. term.  The vertical axis represents what the term's value is.  So the answer should be two

Answer 2

The graph represents a geometric sequence 2exponential X, because as we can see:

2 exponential 1 equals 2

2 exponential 2 equals 4

2 exponential 3 equals 8

Therefore the intial value would be 1, 2 exponential 0 equals 1. As the graph shows a geometric sequence it is evident that the sequence should start from zero and should continue growing by 2 exponential x. It is a positive sequence becuse the graph is shown just in the positive part of the X and Y axis. But it could be infinite if you continue doing 2 exponential x.

We therefore assume that the sequence is just for the natural numbers from zero to infinite.