Complete the given series :
25,245,2545,25455,…

Options

A. 254545
B. 25555
C. 254555
D. 255454

Answer

To solve the problem of completing the series: 25, 245, 2545, 25455, we can identify a pattern in the progression of the numbers. Let's break it down step by step.

### Step 1: Identify the pattern
We observe the given numbers:
- 1st term: 25
- 2nd term: 245
- 3rd term: 2545
- 4th term: 25455

### Step 2: Analyze the transformation from one term to the next
1. From 25 to 245:
- Multiply 25 by 10: \( 25 \times 10 = 250 \)
- Subtract 5: \( 250 - 5 = 245 \)

2. From 245 to 2545:
- Multiply 245 by 10: \( 245 \times 10 = 2450 \)
- Subtract 5: \( 2450 - 5 = 2545 \)

3. From 2545 to 25455:
- Multiply 2545 by 10: \( 2545 \times 10 = 25450 \)
- Subtract 5: \( 25450 - 5 = 25455 \)

### Step 3: Apply the same transformation to find the next term
Now, we will apply the same pattern to find the next term after 25455:
- Multiply 25455 by 10:
\[ 25455 \times 10 = 254550 \]
- Subtract 5:
\[ 254550 - 5 = 254545 \]

### Conclusion
The next term in the series is **254545**.

### Final Answer
The completed series is: 25, 245, 2545, 25455, **254545**.

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