Zeno’s paradox questions the conclusion of a geometric sequence, which paradoxically questions Atalanta’s ability to complete her walk to the end of the path! Our brain battles the fact that the sequence is infinite against our observable experience – of course Atalanta can walk to the end of the path! A related paradox to ponder: when would you say that the perimeter of a nested triangle in Problem #24 is equal to zero? This question might seem absurd, just like Zeno’s Paradox! Use your own thoughts to contemplate the question and debate your conclusion with a logical argument. ![]() Before traveling a quarter, she must travel one-eighth before an eighth, one-sixteenth and so on. Before she can get halfway there, she must get a quarter of the way there. Before she can get there, she must get halfway there. Suppose Atalanta wishes to walk to the end of a path. Zeno’s Paradox is an observation which seems absurd, yet it starts sounding logically acceptable in relation to geometric sequences! Zeno’s Paradox reads:.Without considering any other changes to the reservoir’s volume, how much water will have evaporated over a one-year period? A geometric sequence is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed number. example 3: The first term of a geometric progression is 1, and the common ratio is 5 determine how many terms must be added together to give a sum of 3906. Suppose a reservoir contains an average of \(1.4\) billion gallons of water and loses water due to evaporation at a rate of \(2\%\) per month. example 2: Find the common ratio if the fourth term in geometric series is and the eighth term is. Changes can occur to any water supply due to inflow and outflow, but evaporation is one of the factors of water depletion. Reservoirs can be the source of water supply for millions of people.
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