Let P(n) be the statement : `2^(n)gt 1`. Is P(1) true ?

Answer

To determine whether the statement \( P(1) \) is true, we need to evaluate the expression given in the statement \( P(n) \), which is \( 2^n > 1 \).

### Step-by-Step Solution:

1. **Identify the statement**: The statement \( P(n) \) is defined as \( 2^n > 1 \).

2. **Substitute \( n = 1 \)**: We need to check if \( P(1) \) is true. This means we substitute \( n \) with 1 in the statement:
\[ P(1) : 2^1 > 1 \]

3. **Calculate \( 2^1 \)**: Now, we calculate \( 2^1 \):
\[ 2^1 = 2 \]

4. **Compare with 1**: We need to check if \( 2 > 1 \):
\[ 2 > 1 \quad \text{(This is true)} \]

5. **Conclusion**: Since the statement \( 2 > 1 \) is true, we conclude that:
\[ P(1) \text{ is true.} \]

### Final Answer:
Yes, \( P(1) \) is true.

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