Suppose that you play black jack Harrah's on June 1 and $1000 lose. Tomorrow you bet and lose $ 15 less. Each day you lose $ 15 less that your previous loss. What will your total losses be for the 30 days of June ?

Explanation

To find the total losses for the 30 days of June, we can model this situation using an arithmetic progression (AP). Let's break down the solution step by step:

### Step 1: Identify the first term (T1)
The first term of the series (the loss on the first day) is given as:
- T1 = $1000

### Step 2: Determine the common difference (d)
Each subsequent day, you lose $15 less than the previous day. Therefore, the common difference (d) is:
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