2021 Fall Semester Exam Review #3

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term (a_n) of an arithmetic sequence can be found using the formula: 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 sequence -13, -21, -29, -37?

Back

The common difference is -8, calculated as -21 - (-13) = -8.

Front

Write the rule for the arithmetic sequence -13, -21, -29, -37.

Back

The rule is a_n = -13 + (n-1)(-8).

Front

How do you write an inequality from a word problem?

Back

Identify the key conditions and translate them into mathematical symbols, using <, >, ≤, or ≥ as appropriate.

Front

What does the shaded area above a line in a graph represent in terms of inequalities?

Back

It represents all the values of y that are greater than the line's equation.

Front

Solve the equation: 5(-5k - 5) = 100.

Back

k = -5.

Front

What are the next three terms in the arithmetic sequence 18, 22, 26, 30?

Back

The next three terms are 34, 38, 42.

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n of the first n terms is given by S_n = n/2 * (a_1 + a_n), where a_n is the nth term.

Front

How do you determine if a number is a solution to an inequality?

Back

Substitute the number into the inequality and check if the statement is true.