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Previous Year Question (PYQs)
3
Let the sequence be $1\times2, 3\times2^2, 5\times2^3, 7\times2^4, 9\times2^5, \ldots$
Then this sequence is...
Solution
The coefficients $1, 3, 5, 7, 9, \ldots$ form an arithmetic sequence,
and the powers of 2 form a geometric sequence.
Hence, the overall sequence is arithmetico-geometric.
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