Final Exam S1 (IBMath SL- Yr1) Arithmetic & Geometric Sequences

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What is an arithmetic sequence?

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

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What is a geometric sequence?

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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.

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

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How do you find the nth term of a geometric sequence?

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What is the common difference in an arithmetic sequence?

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The common difference is the constant amount that each term in an arithmetic sequence increases or decreases by.

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What is the common ratio in a geometric sequence?

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The common ratio is the constant factor by which each term in a geometric sequence is multiplied to get the next term.

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

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What is the formula for the sum of the first n terms of a geometric sequence?

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How do you determine if a sequence is arithmetic or geometric?

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To determine if a sequence is arithmetic, check if the difference between consecutive terms is constant. To determine if it is geometric, check if the ratio of consecutive terms is constant.

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What is the 9th term of the sequence 2, 8, 14, ...?

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