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The first three terms of a geometric sequence are as follows: 5, 10, 20. Find the next two terms...

Question:

The first three terms of a geometric sequence are as follows: 5, 10, 20. Find the next two terms of this sequence.

Geometric sequence:

Some characteristics of the geometric sequence are

i) The common ratio is obtained by dividing any term by its antecedent.

ii) Knowing the first term and the common ratio, any term can be calculated.

iii) From any two terms, the common ratio can be calculated.

Answer and Explanation: 1

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The first three terms of a geometric sequence are as follows:

$$a_1=5, a_2=10, a_3=20. $$

Since this is a geometrical sequence, the ratio...

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Geometric Sequence: Formula & Examples

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Chapter 27 / Lesson 26
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Learn about geometric sequences. Understand what a geometric sequence is, learn how to find the common ratio of a geometric sequence, and see examples.


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