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Let obrace(75* * *57)^(" r") denote the ...

Let `obrace(75* * *57)^(" r")` denote the `(r+2) `digit number where the first and the last digits are 7 and the remaining r digits are 5 .Consider the sum`S=77+757+7557+* * *+obrace(75* * *57)^(" 98")` . If `S (obrace(75* * *57)^(" 98")+m)/n`, where m and n are natural numbers less than 3000, then the value of `m+n` is

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JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2023-Question
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