Complete the number series by choosing the missing terms
5678 , 6778 , 7878 , ? , ? 101178

Options

A. 8878, 91078
B. 8978 , 91078
C. 8988 , 91078
D. 8988 , 9978

Answer

To solve the number series: 5678, 6778, 7878, ?, ?, 101178, we will analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
Let's break down the numbers:
- The first number is **5678**.
- The second number is **6778**.
- The third number is **7878**.
- The fifth number is **101178**.

### Step 2: Analyze the First Digits
Look at the first digits of each number:
- 5 (from 5678)
- 6 (from 6778)
- 7 (from 7878)

We can see that the first digit is increasing by 1 each time:
- 5 → 6 → 7 → **8** → **9** → 10

### Step 3: Analyze the Last Three Digits
Now, let's look at the last three digits of each number:
- 678
- 778
- 878

These last three digits are also increasing by 1:
- 678 → 778 → 878 → **978** → **1078**

### Step 4: Combine the Findings
Now we can combine our findings:
- The fourth term will be **8978** (since the first digit is 8 and the last three digits are 978).
- The fifth term will be **10178** (since the first digit is 9 and the last three digits are 1078).

### Conclusion
Thus, the missing terms in the series are **8978** and **10178**.

### Final Answer
The complete series is: 5678, 6778, 7878, **8978**, **10178**, 101178.

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