A = 265 and B = 264 + 263 + 262 … + 20 which of the following is tr

1.	A = 265 and B = 264 + 263 + 262 … + 20 which of the following is true? (1) B is 264 more than A (2) A and B are equal (3) B is larger than A by 1 (4) A is larger than B by 1
Answer» (4) A is larger than B by A = 2⁶⁵ B = 2^{64 + 63} + 2⁶² + … + 2⁰ = 2 = 1 + 2² + 2² + … + 2⁶⁴ a = 1, r = 2, n = 65 it is in G.P. S₆₅ = 1 (2⁶⁵ – 1) = 2⁶⁵ – 1 A = 2⁶⁵ is larger than B

A = 265 and B = 264 + 263 + 262 … + 20 which of the following is true? (1) B is 264 more than A (2) A and B are equal (3) B is larger than A by 1 (4) A is larger than B by 1

Answer»

(4) A is larger than B by

A = 2⁶⁵

B = 2^{64 + 63} + 2⁶² + … + 2⁰

= 2

= 1 + 2² + 2² + … + 2⁶⁴

a = 1, r = 2, n = 65 it is in G.P.

S₆₅ = 1 (2⁶⁵ – 1) = 2⁶⁵ – 1

A = 2⁶⁵ is larger than B