Mathematics · JEE | SEQUENCES AND SERIES

Match List-I with List-II: List-I List-II A General term of a G.P. (\( a_n \)) I \( \sqrt{ab} \) B Sum of first \( n \) terms of G.P. (\( S_n \) when \( r > 1 \)) II \( ar^{n-1} \) C Geometric Mean of \( a \) and \( b \) III \( \frac{a(r^n - 1)}{r - 1} \) D Relationship between A.M. and G.M. (\( A \ge G \)) IV \( A = \frac{a+b}{2} \) Choose the correct answer from the options given below:

1. A
   A-(III), B-(II), C-(I), D-(IV)
2. B
   A-(I), B-(II), C-(III), D-(IV)
3. C
   A-(II), B-(I), C-(IV), D-(III)
4. D
   A-(II), B-(III), C-(I), D-(IV)