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In a geometric sequence, the fourth term is 18 and the seventh term is \frac{243}{32}. Find the...

Question:

In a geometric sequence, the fourth term is 18 and the seventh term is {eq}\frac{243}{32} {/eq}. Find the first and nth terms.

Geometric Series:

Suppose the first term of a geometric sequence is a, and the common ratio is r; we use the below formula to indicate the nth term of a sequence.

{eq}{T_n} = a{r^{n - 1}} {/eq}

So, if we know the first term and common ratio (ratio of a term and its previous term) to define any term of the geometric sequence.

Answer and Explanation: 1

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Given Data: -

  • The fourth term of the geometric sequence is: {eq}{T_4} = 18 {/eq}
  • The seventh term of the geometric sequence is: {eq}{T_7} =...

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How to Calculate a Geometric Series

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Chapter 12 / Lesson 6
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Define what a geometric series is and compare finite and infinite series. Using examples, learn the geometric series formula and how to solve geometric series.


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