If 6/3^ 12 + 10/3^ 11 + 20/3^ 10 + 40/3^ 9 + … + 10240/3 = 2^ n m, where m is odd, then m·n is equal to _____.

JEE Main 2022 Mathematics question

If + … + , where m is odd, then m·n is equal to .

Answer: 12

Write the series as + … + ). The bracket is a geometric series with 12 terms, first term and common ratio 6 (each term is 6 times the

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Question ID VK-034711