1. The sum of reciprocals of powers of 5 results in the following convergent series: 1/2+1/2 + + + 1 1 53 5 5² 5 4 Write a script that uses a while loop to check for convergence based on the following criterion: the sum is within 1.25 by an error of 0.000001 or less. Also, your script should report the power n, in which n is defined as 1/5^n, at which the series converges based on the given criterion.

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