JEE Advanced 2010 Mathematics question

MathematicsSequence and SeriesJEE Advanced 2010

Let , , denote the sum of the infinite geometric series whose first term is and the common ratio is . Then the value of is

Answer: 3

Solution

For , ; for the first term is 0, so . Term for : 0. Term for : . For , and , so $ - 3k +

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Question ID VK-025787