AP Precalculus Exponential Functions Review

Front

Dividing by a number is the same as multiplying by its reciprocal. What is the reciprocal of 5?

Back

1/5

Front

What is the 38th term of the arithmetic sequence {26, 22, 18, 14, ...}?

Back

-122

Front

Identify whether the sequence {14, 22, 30, 38, ...} is Arithmetic, Geometric, or Neither.

Back

Arithmetic

Front

What is the formula for the nth term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the arithmetic sequence {14, 22, 30, 38, ...}?

Back

8

Front

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

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What is the common ratio in the geometric sequence {3, 6, 12, 24, ...}?

Back

2

Front

If f(x) = 2^x, what is f(3)?

Back

8

Front

What is the inverse of the exponential function f(x) = a^x?

Back

f^{-1}(x) = log_a(x)

Front

What is the value of log_2(8)?

Back

3