Insert a geometric mean between k and 1/k

Answer :

**THE GEOMETRIC MEAN**

The **geometric mean** between k and 1/k **is 1.**

**What is a geometric sequence?**

A sequence is a sequence of numbers that follows a pattern or rule. The rule of multiplying or dividing by a constant number (known as the common ratio) each time is called a geometric sequence.

**The Common Ratio**

A common ratio is a number that is multiplied or divided at each stage of a sequence. It is found by dividing pairs of two consecutive terms. It doesn’t matter which pair is chosen as long as they are adjacent to each other.

**Example 2:**

In General, if the first term of the sequence is a and the common ratio is r, we could write a geometric sequence like this:

**A geometric sequence can be written as a rule:**

**where:**

- a_n = nth term
- a = the first term of the sequence
- r = the common ration

**GIVEN QUESTION**

- Insert a geometric mean between k and 1/k.

**Solution**

Let the sequence is k, ar, 1/k.

Now we compare the given number to find ar

Substitute a to ar²

Divide by k

We get r = 1/k.

Therefore, the geometric mean between k and 1/k is

Our team advises readers to look into the following questions :Ano ang kahulugan ng kasipagan, pagpupunyagi, pagtitipid at wastong pamamahala sa naimpok

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