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13 Μαρ 2019 · The formula for finding the nth term of a geometric sequence is given by the formula: a n = a 1 * r n - 1 where a 1 = the first term of the sequence, and r is the common ratio.
11 Μαΐ 2017 · I will give you a pattern. 2 * 3 = 6. 6 * 3 = 18. 18 * 3 = 54. As you can see, 2 is the first term in the sequence. Multiplying the current term by the common ratio, which is 3, presents the next term. Then that term is multiplied by the common ratio to present the term after it. a n + 1 = 3a n.
18 Ιαν 2024 · We explain the difference between both geometric sequence equations, the explicit and recursive formula for a geometric sequence, and how to use the geometric sequence formula with some interesting geometric sequence examples.
Explicit & recursive formulas for geometric sequences. Sal finds an explicit formula of a geometric sequence given the first few terms of the sequences. Then he explores equivalent forms the explicit formula and finds the corresponding recursive formula.
This is the form of a geometric sequence. Substitute in the values of a1 = 2 a 1 = 2 and r = 3 r = 3. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
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The recursive formula for a geometric sequence is written in the form. For our particular sequence, since the common ratio (r) is 3, we would write. So once you know the common ratio in a geometric sequence you can write the recursive form for that sequence.
