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yes we get a chance to write the exponential equation based off of a pattern and when we do this were going to really focus in on that gap between that 2 and that 64. um it is easier if we just use the 64 and the 128 but were gonna use that as a reference for that big gap between two and sixty sixty four one twenty eight okay all right so the first thing were gonna do is were gonna look at the rate and lets go ahead and find that between the 64 and the 128 and so when we find the exponent exponential rate we can just identify well 64 times 2 is 128 but if you didnt know know that i might say 128 divided by 64. that is going to give us the rate which is a value of two and what that means is were multiplying by two every single time now lets go ahead and look at that two and the sixty-four because what youre going to notice is there is a gigantic gap in data between those two but if we use the same idea that we used over here we would just take well lets take 64. and lets div