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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If (10)9+2(11)1(108)+3(11)2(10)7+…(10)^{9}+2(11)^{1}\left(10^{8}\right)+3(11)^{2}(10)^{7}+\ldots.
+10(11)9=k(10)9+10(11)^{9}=k(10)^{9}, then kk is equal to:
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Correct option: A
100
Option A (100) is correct because by manipulating the series and subtracting, we can find the value of k.

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