Find out the missing term in the series 2,10,30,`"…….."`130,222.

Answer

To find the missing term in the series 2, 10, 30, __, 130, 222, we will analyze the pattern in the series step by step.

### Step 1: Identify the series
The given series is:
2, 10, 30, __, 130, 222.

### Step 2: Look for a pattern
We need to look for a pattern in the differences or relationships between the terms.

### Step 3: Analyze the terms
Let's examine the terms closely:
- The first term is 2.
- The second term is 10.
- The third term is 30.
- The fourth term is missing.
- The fifth term is 130.
- The sixth term is 222.

### Step 4: Check the cubes of integers
We notice that the numbers seem to relate to cubes of integers:
- 1^3 = 1, and 1 + 1 = 2
- 2^3 = 8, and 8 + 2 = 10
- 3^3 = 27, and 27 + 3 = 30

### Step 5: Continue the pattern
Following this pattern:
- 4^3 = 64, and if we add 4, we get 64 + 4 = 68 (this is the missing term).
- 5^3 = 125, and if we add 5, we get 125 + 5 = 130.
- 6^3 = 216, and if we add 6, we get 216 + 6 = 222.

### Step 6: Conclusion
Thus, the missing term in the series is **68**.

### Final Answer:
The missing term is **68**.

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