Biomolecules, enzyme kinetics

### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2026 Q.31)** **1. Governing Concept & Definition**: - **Topic**: General Aptitude & Arithmetic Progression (AP) - The given sequence is an arithmetic progression: $0.01, 0.02, 0.03, \dots, 1.00$ - For any arithmetic sequence, the arithmetic mean is simply the average of the first and last terms: $\bar{x} = \frac{a + l}{2}$ **2. Detailed Step-by-Step Calculation**: - **First Term ($a$)**: $0.01$ - **Last Term ($l$)**: $1.00$ - **Number of Terms ($n$)**: $100$ - **Mean Calculation**: $\bar{x} = \frac{0.01 + 1.00}{2} = \frac{1.01}{2} = 0.505$ **3. Final Answer**: - **Calculated Value**: **0.505** - **Official GATE Accepted Range**: **0.505 to 0.505**