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Arithmetic & Geometric Sequences
Examples, solutions, videos, and worksheets to help Grade 8 students learn how to find the terms of an Arithmetic & Geometric Sequence. Identify whether a sequence is an Arithmetic or Geometric sequence. Write a recursive formula for the sequence.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant. This constant difference is called the common difference and is often denoted by π.
Formula for the π-th Term
For an arithmetic sequence with first term π and common difference π, the π-th term ππ can be calculated by:
ππ = π + (π β 1)π
π: The first term of the sequence.
π: The common difference.
π: The term number youβre looking to find.
A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a constant called the common ratio π.
Formula for the π-th Term
For a geometric sequence with the first term π and common ratio π, the π-th term ππ is calculated as:
ππ = π Γ π(π β 1)
π: The first term of the sequence.
π: The common ratio.
π: The term number you want to find.
Have a look at this video if you need to review Arithmetic & Geometric Sequences.
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Arithmetic & Geometric Sequences
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