Find the next term in the series 15,14,19,11,23,8,`"…………."`.

Answer

To find the next term in the series 15, 14, 19, 11, 23, 8, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern
The series alternates between two operations: adding 4 to certain terms and subtracting 3 from others.

### Step 2: Break down the series
- The first term is **15**.
- The second term is **14** (which is 15 - 1).
- The third term is **19** (which is 15 + 4).
- The fourth term is **11** (which is 14 - 3).
- The fifth term is **23** (which is 19 + 4).
- The sixth term is **8** (which is 11 - 3).

### Step 3: Continue the pattern
Now, we can see that:
- The terms where we add 4 are: 15 (1st term), 19 (3rd term), and 23 (5th term).
- The terms where we subtract 3 are: 14 (2nd term), 11 (4th term), and 8 (6th term).

### Step 4: Determine the next term
Following the established pattern:
- After 23 (the 5th term), we will add 4 to find the next term.
- Therefore, the next term will be:
\[ 23 + 4 = 27 \]

### Conclusion
The next term in the series is **27**.

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