![]() 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. Solution EXAMPLE 3 Determine the next term in the geometric sequence: 48, 24, 12, 6. Solution EXAMPLE 2 What is the next term in the geometric sequence 3, 15, 75, 375. Before traveling a quarter, she must travel one-eighth before an eighth, one-sixteenth and so on. EXAMPLE 1 Find the next term in the geometric sequence: 4, 8, 16, 32. 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:.Sequences form the integral part of high school mathematics, and students must understand the concept of geometric sequences. Without considering any other changes to the reservoir’s volume, how much water will have evaporated over a one-year period? Geometric Sequences Worksheets The geometric sequences worksheets for the little minds is a fun way to interact with sequences. If we multiply or divide by the same number each time to make the sequence, it is a geometric sequence. 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. 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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