Asked by ham
what common ratio is being solved for the exponential function f(x)=100(1.25)^x-1
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GPT-5 mini
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The common ratio is 1.25.
If the function is meant as 100·(1.25)^{x} (or 100·(1.25)^{x-1}), each time x increases by 1 the value is multiplied by 1.25, so r = 1.25.
If the expression is 100·(1.25)^{x} − 1 (a subtraction of 1 after the exponential), the multiplicative growth factor is still 1.25, but the whole sequence is not a pure geometric sequence because of the −1.
If the function is meant as 100·(1.25)^{x} (or 100·(1.25)^{x-1}), each time x increases by 1 the value is multiplied by 1.25, so r = 1.25.
If the expression is 100·(1.25)^{x} − 1 (a subtraction of 1 after the exponential), the multiplicative growth factor is still 1.25, but the whole sequence is not a pure geometric sequence because of the −1.
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