Find the arithmetic mean of the following `-17, -13, -9, -5, -1,………`

Answer

To find the arithmetic mean of the given sequence of numbers: -17, -13, -9, -5, -1, we will follow these steps:

### Step 1: Identify the numbers in the sequence
The numbers given are:
- -17
- -13
- -9
- -5
- -1

### Step 2: Count the number of terms
There are a total of 5 terms in this sequence.

### Step 3: Calculate the sum of the terms
Now, we will add all the terms together:
\[ -17 + (-13) + (-9) + (-5) + (-1) \]
Calculating this step-by-step:
- First, add -17 and -13:
\[ -17 + (-13) = -30 \]
- Next, add -9:
\[ -30 + (-9) = -39 \]
- Then, add -5:
\[ -39 + (-5) = -44 \]
- Finally, add -1:
\[ -44 + (-1) = -45 \]

So, the sum of the terms is -45.

### Step 4: Divide the sum by the number of terms
Now, we will divide the sum by the number of terms to find the arithmetic mean:
\[ \text{Arithmetic Mean} = \frac{\text{Sum of terms}}{\text{Number of terms}} = \frac{-45}{5} \]

### Step 5: Simplify the division
Calculating the division:
\[ \frac{-45}{5} = -9 \]

### Conclusion
The arithmetic mean of the given numbers is -9.

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