Algebra II Diagnostic Test - Term 4

Front

What is the result of multiplying (2x + 3)(3x + 4)?

Back

6x² + 17x + 12

Front

How do you find the value of an unknown variable in an equation?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

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

Back

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

Front

What is the common difference in the arithmetic sequence: -15, -35, -55, -75?

Back

The common difference is -20.

Front

How do you find the 26th term in the arithmetic sequence: -15, -35, -55, -75?

Back

Use the formula: a_n = -15 + (n-1)(-20). The 26th term is -515.

Front

What is the next term in the geometric sequence: -4, -12, -36, -108?

Back

The next term is -324, found by multiplying by -3.

Front

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

Back

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

Front

What is the common ratio in the geometric sequence: 5, 15, 45?

Back

The common ratio is 3.

Front

Write an explicit rule for the general term of the sequence 5, 15, 45, ...

Back

a_n = 5(3)^(n-1).

Front

How do you determine the next three terms in a geometric sequence?

Back

Multiply the last known term by the common ratio.