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What is a geometric sequence?

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A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the common ratio in the geometric sequence 512, 256, 128?

Back

The common ratio is 0.5, as each term is multiplied by 0.5 to get the next term.

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Front

What is exponential growth?

Back

Exponential growth occurs when a quantity increases by a fixed percentage over a period of time, resulting in a rapid increase.

Front

What is the formula for exponential growth?

Back

Front

What does the graph of an exponential growth function look like?

Back

The graph of an exponential growth function rises sharply and increases rapidly as 'x' increases.

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How do you identify exponential decay?

Back

Exponential decay occurs when a quantity decreases by a fixed percentage over time, resulting in a rapid decrease.

Front

What is the formula for exponential decay?

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What is the difference between linear and exponential functions?

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Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.

Front

How do you write a function for a 35% increase from an initial amount of $15?

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