In the following geometric sequence, find an expression for (i) the 17th term; (ii) for the nth...
Question:
In the following geometric sequence, find an expression for (i) the 17th term; (ii) for the nth term.
{eq}\displaystyle -\sqrt 5,\ 5,\ \cdots {/eq}
Geometric Sequence:
A geometric sequence is a set of numbers where each phrase following the first is obtained by multiplying the term before it by a factor known as the common ratio (r). The sequence's first term (a) is typically provided, and the remaining terms are obtained by multiplying the first term by r.
Answer and Explanation: 1
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View this answerGiven:
$$\displaystyle -\sqrt 5,\ 5,\ \cdots $$
Finding the common ratio:
$$\begin{align} r &= \dfrac{5}{-\sqrt{5}}\\ r &= -\sqrt{5}...
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Chapter 27 / Lesson 26Learn about geometric sequences. Understand what a geometric sequence is, learn how to find the common ratio of a geometric sequence, and see examples.