CA#4 Review #1

Front

What is the starting term for the function: f(x) = 300(1.16)^x?

Back

The starting term is 300.

Front

Determine the exponential equation for the graph that fits the data.

Back

The correct equation is f(x) = 0.5(4)^x.

Front

Find the equation of the exponential function represented by the table.

Back

The equation is f(x) = 4(3)^x.

Front

Write the explicit formula for the following geometric sequence: 10, 20, 40, 80, ...

Back

The explicit formula is a_n = 10(2)^(n-1).

Front

Find the 11th term for the sequence: 64, -32, 16, -8, ...

Back

The 11th term is 0.0625.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a(b)^x, where a is a constant, b is the base, and x is the exponent.

Front

What is a geometric sequence?

Back

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

How do you find the common ratio in a geometric sequence?

Back

The common ratio is found by dividing any term by the previous term in the sequence.

Front

What is the formula for the nth term of a geometric sequence?

Back

The nth term can be found using the formula a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth occurs when the base of the exponential function is greater than 1, while exponential decay occurs when the base is between 0 and 1.