`12,26,56,116,244,498,1008`

Answer

To solve the number series `12, 26, 56, 116, 244, 498, 1008`, we need to identify the pattern in the sequence. Let's analyze the series step by step.

### Step 1: Identify the relationship between the numbers

1. Start with the first number: **12**.
2. Multiply it by **2**:
\( 12 \times 2 = 24 \).
3. Add **2** to the result:
\( 24 + 2 = 26 \).

### Step 2: Continue with the next number

1. Take the next number: **26**.
2. Multiply it by **2**:
\( 26 \times 2 = 52 \).
3. Add **4** to the result:
\( 52 + 4 = 56 \).

### Step 3: Proceed to the next number

1. Now take **56**.
2. Multiply it by **2**:
\( 56 \times 2 = 112 \).
3. Add **6** to the result:
\( 112 + 6 = 118 \) (Note: the series shows 116, which is incorrect based on our pattern).

### Step 4: Continue with the next number

1. Now take **118** (instead of 116).
2. Multiply it by **2**:
\( 118 \times 2 = 236 \).
3. Add **8** to the result:
\( 236 + 8 = 244 \).

### Step 5: Move to the next number

1. Now take **244**.
2. Multiply it by **2**:
\( 244 \times 2 = 488 \).
3. Add **10** to the result:
\( 488 + 10 = 498 \).

### Step 6: Continue to the next number

1. Now take **498**.
2. Multiply it by **2**:
\( 498 \times 2 = 996 \).
3. Add **12** to the result:
\( 996 + 12 = 1008 \).

### Conclusion

The next number in the series after 1008 would follow the same pattern:

1. Take **1008**.
2. Multiply it by **2**:
\( 1008 \times 2 = 2016 \).
3. Add **14** to the result:
\( 2016 + 14 = 2030 \).

Thus, the next number in the series is **2030**.