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Q&A What's the common ratio for this geometric sequence?

1 answer  ·  posted 1y ago by General Sebast1an‭  ·  last activity 1y ago by tommi‭

#1: Initial revision by user avatar General Sebast1an‭ · 2022-07-28T07:58:04Z (over 1 year ago)
What's the common ratio for this geometric sequence?
Delayed learning some math, now I'm back at it.

Geometric sequences. Basically a sequence where it has a common ratio.

An example:

```
Sequence = {14, 28, 56, 112}
Ratio = 2
Proof = 14 * 2 * 2 * 2...
```

You can see where I'm going with this.

In my previous sequence question, I asked how I'm supposed to get the arithmetic means between two values. Here, I'm tasked to get geometric means this time. Getting geometric means is a lot more complicated because it requires multiplying and dividing instead.

So what are the values at the ends of the sequence? $16$ and $81$, and I have to find $3$ geometric means between them. My problem though is that I can't really use the same way I did with arithmetic sequences, so finding a common ratio is difficult.

```
Sequence = {16, ?, ?, ?, 81}
Ratio = ?
Proof = 16 * ? * ? * ? * ?...
```

Any ways of obtaining the common ratio of the sequence?