Fall Semester Final Exam Review

Front

What is the common ratio in the geometric sequence: 64, -16, 4, -1, ...?

Back

The common ratio (r) is -1/4.

Front

What is the product of (3x – 1)(x + 5)?

Back

The product is 3x^2 + 14x - 5.

Front

Solve for q in the equation: 0.05 = 0.5 - 0.15q.

Back

q = 3.

Front

Solve the equation: 7^{-x} = 49.

Back

x = -2.

Front

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

Back

The 26th term is 170.

Front

Define 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

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

Back

The nth term (a_n) is given by 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: 5, 10, 15, 20, ...?

Back

The common difference (d) is 5.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.