# Write an equation for the nth term of each geometric sequence

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## Formula for a Geometric Sequence

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Example 2: Find the common ratio if the fourth term in geometric series is $\frac{4}{3}$ and the seventh term is $\frac{64}{}$. Find the 7 th term for the geometric sequence in which a 2 = 24 and a 5 = 3.

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Substitute 24 for a 2 and 3 for a 5 in the formula a n = a 1 ⋅ r n − 1. Math homework help. Hotmath explains math textbook homework problems with step-by-step math answers for algebra, geometry, and calculus.

Online tutoring available for math help. The manual for the psych package is available at CRAN as well as here. To install the psych package using a Mac, go to the Package Installer Menu option, choose binary, and then psych and it .

## Inferring From Data

Rather than write a recursive formula, we can write an explicit formula. The explicit formula is also sometimes called the closed form. To write the explicit or closed form of a geometric sequence, we use.

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