If 2¹⁹⁹⁸ – 2¹⁹⁹⁷ – 2¹⁹⁹⁶ + 2¹⁹⁹⁵ = K.2¹⁹⁹⁵, then the value of K is

2¹⁹⁹⁸ – 2¹⁹⁹⁷ – 2¹⁹⁹⁶ + 2¹⁹⁹⁵ = K.2¹⁹⁹⁵

The above question can be written as follows:

For first part,

a = 2

m = 1998

n = 1995

∴ m – n = 1998 - 1995

= 3

For second part,

a = 2

m = 1997

n = 1995

∴ m – n = 1997 – 1995

= 2

For third part,

a = 2

m = 1996

n = 1995

∴ m – n = 1996 - 1995

= 1

For second part,

a = 2

m = 1995

n = 1995

∴ m – n = 1995 – 1995

= 0

k = 8 - 4 – 2 + 1

k = 3

So the correct answer is C.