SAT Math: Repeating Sequences (w/ example)

The SAT will occasionally include a sequence where the numbers repeat themselves in a pattern. In repeating sequence questions, you’re usually asked which of the repeating terms lies at a point far down the sequence.

1. Figure out how many terms it takes before the sequence repeats;

2. Divide the number of the term you need by the total number of repeating terms;

3. Use the remainder to find which number in the repeating sequence is the correct term.

Answer and explanation below.

From my SAT guide SAT Unlocked, which includes a complete list of practice questions in The Official SAT Study Guide that test this SAT Math topic.

SAT Math: Geometric Sequences (w/ example)

Sequences which multiply the same number over and over again are known as ‘geometric’ sequences.

Tip:

It is often easier simply to multiply out the geometric sequence until you get to the term you need.

Answer and explanation below.

From my SAT guide SAT Unlocked, which includes a complete list of practice questions in The Official SAT Study Guide that test this SAT Math topic.

SAT Math: Arithmetic Sequences (w/ example)

Sequences which add the same number over and over again are known as ‘arithmetic’ sequences.

Answer and explanation below.

From my SAT guide SAT Unlocked, which includes a complete list of practice questions in The Official SAT Study Guide that test this SAT Math topic.

SAT Math: Number Sequences (w/ example)

The SAT will sometimes include a question that asks you to figure out the pattern of a sequence of numbers.

Read the question carefully for clues as to what the sequence should be. Then plug in numbers for the variables until you get the right combination.

Example:

Answer and explanation below.

Answer:

From my SAT guide SAT Unlocked, which includes a complete list of Official SAT Study Guide practice questions that test this SAT Math topic.

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