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Sequences and Series question

2020 · Shift 1 · Q32
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  5. /2020 · Shift 1 · Q32

Sequences and Series question

2020 · Shift 1 · Q32

JEE AdvancedMathematicsSequences and SeriesNumerical+4 / −1
Let a1, a2, a3, .... be a sequence of positive integers in arithmetic progression with common difference 2. Also, let b1, b2, b3, .... be a sequence of positive integers in geometric progression with common ratio 2. If a1 = b1 = c, then the number of all possible values of c, for which the equality 2(a1 + a2 + ... + an) = b1 + b2 + ... + bn holds for some positive integer n, is ...........
Numerical answer
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