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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Analyzing +4 | -1
If a1,a2,….a50{a_1},{a_2}, \ldots .{a_{50}} are in GP, then a1−a3+a5−...+a49a2−a4+a6−...+a50\frac{{{a_1} - {a_3} + {a_5} - ... + {a_{49}}}}{{{a_2} - {a_4} + {a_6} - ... + {a_{50}}}} is equal to
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Correct option: C
a1a2\frac{{{a_1}}}{{{a_2}}}
Option C (a1a2\frac{{{a_1}}}{{{a_2}}}) is correct because by expressing each term of the numerator and denominator in terms of a1a_1 and the common ratio r, the expression simplifies to a1a2\frac{a_1}{a_2}.

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