If (10)⁹ + 2(11)¹ (10⁸) + 3(11)² (10)⁷ +......... + 10(11)⁹ = k (10)⁹,, then k is equal to:

Sequence and Series: JEE Main 2014 Mathematics question

JEE Main 2014 · Session, Shift 1 · Q5291

JEE Main 2014Session, Shift 1MathematicsMediumSequence and Series179× since 2002

{(10)^9} + 2{(11)^1}\,({10^8}) + 3{(11)^2}\,{(10)^7} + ......... + 10{(11)^9} = k{(10)^9},

, then k is equal to :

JEE Main 2014 · Session, Shift 1 · Q5291

JEE Main 2014Session, Shift 1MathematicsMediumSequence and Series179× since 2002

{(10)^9} + 2{(11)^1}\,({10^8}) + 3{(11)^2}\,{(10)^7} + ......... + 10{(11)^9} = k{(10)^9},

, then k is equal to :