1,1,2, 6,24,96,720

Options

A. 720
B. 96
C. 24
D. 6

Answer

To solve the problem of identifying the wrong term in the series 1, 1, 2, 6, 24, 96, 720, we will analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
Let's first write down the series clearly:
- 1, 1, 2, 6, 24, 96, 720

### Step 2: Analyze the Terms
We can observe the following:
- The first term is 1.
- The second term is also 1.
- The third term is 2.
- The fourth term is 6.
- The fifth term is 24.
- The sixth term is 96.
- The seventh term is 720.

### Step 3: Look for a Multiplicative Pattern
We will check if there is a pattern based on multiplication:
- The first term (1) multiplied by 1 gives the second term (1).
- The second term (1) multiplied by 2 gives the third term (2).
- The third term (2) multiplied by 3 gives the fourth term (6).
- The fourth term (6) multiplied by 4 gives the fifth term (24).

Now, let's see if this pattern continues:
- The fifth term (24) multiplied by 5 should give the sixth term.
\[ 24 \times 4 = 96 \quad \text{(This is correct)} \]
- The sixth term (96) multiplied by 6 should give the seventh term.
\[ 96 \times 6 = 576 \quad \text{(This is incorrect, as the seventh term is 720)} \]

### Step 4: Identify the Incorrect Term
Since 96 multiplied by 6 should yield 576, but the series has 720, we can conclude that 720 is the incorrect term.

### Conclusion
The incorrect term in the series is **720**.

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