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