JEE Advanced 2020 Mathematics question
Let be a sequence of positive integers in arithmetic progression with common difference 2. Also, let be a sequence of positive integers in geometric progression with common ratio 2. If , then the number of all possible values of , for which the equality
+ + ·s + = + + ·s +
holds for some positive integer , is
Answer: 1
Solution
and . The equality gives . must be a positive integer. : (not positive). : denominator ,
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