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Is exponential sequence the same as geometric progression?

Exponential graphs and geometric sequence graphs look very much alike. Exponential graphs are continuous, however, and the sequence graphs are discrete with distinct points ( 1 s t term and 2 n d term, etc). Suppose a population of bacteria in a Petri dish increases by a factor of three every 24 hours.

What is the geometric sequence of exponents?

A geometric sequence is an exponential function. Instead of y=ax, we write an=crn where r is the common ratio and c is a constant (not the first term of the sequence, however). A recursive definition, since each term is found by multiplying the previous term by the common ratio, ak+1=ak * r.

What is the main difference between exponential function and other functions?

In a linear function, the difference in y values increases or decreases at the same rate as the difference in x values. In an exponential function, the difference in y values increases or decreases at a rate proportional to the difference in x values.

Which of the following characteristics is the main difference between exponential functions and geometric functions?

As a result, geometric sequences and exponential functions look very similar. The fundamental difference between the two concepts is that a geometric sequence is discrete while an exponential function is continuous.

What is the main difference between exponential functions and geometric functions?

The difference between geometric growth and exponential growth is, geometric growth is discrete (due to the fixed ratio) whereas exponential growth is continuous. With geometric growth, a fixed number is multiplied to x whereas with exponential growth, a fixed number is raised to the x.

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How can you use geometric sequences to define exponential functions?

Geometric sequences can be modeled by exponential functions using the common ratio and the initial term. Exponential growth and exponential decay functions can be used to model situations where a quantity increases or decreases by the same rate in each time period.

What is the relationship between geometric sequences and exponential functions?

Geometric sequences can be modeled by exponential functions using the common ratio and the initial term. Exponential growth and exponential decay functions can be used to model situations where a quantity increases or decreases by the same rate in each time period.

What is the difference between exponential and geometric functions?

When we graph an exponential function, we draw the graph with a solid curve to show the function has values at any time during the day. On the other hand, when we graph a geometric sequence, we draw discrete points to show the sequence has values only at those points but not in-between.

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