If (20)¹⁹+2(21)(20)¹⁸+3(21)²(20)¹⁷+ +20(21)¹⁹=k(20)¹⁹, then k is equal to _ _ _ _ _ _.

Sequence and Series: JEE Main 2023 Mathematics question

JEE Main 2023 · 6 Apr, Evening shift · Q46

JEE Main 20236 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

(20)^{19}+2(21)(20)^{18}+3(21)^{2}(20)^{17}+\ldots+20(21)^{19}=k(20)^{19}

, then

k

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 6 Apr, Evening shift · Q46

JEE Main 20236 Apr, Evening shiftMathematicsMediumSequence and Series179× since 2002

(20)^{19}+2(21)(20)^{18}+3(21)^{2}(20)^{17}+\ldots+20(21)^{19}=k(20)^{19}

, then

k

is equal to ___________.

Your answerType your answer. Integers and decimals are accepted.