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Sequences and Series question

2023 · 29 Jan · Shift 1 · Q41
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  5. /2023 · 29 Jan · Shift 1 · Q41

Sequences and Series question

2023 · 29 Jan · Shift 1 · Q41

JEE MainMathematicsSequences and SeriesNumerical+4 / −1
Let a1,a2,a3,...a_1,a_2,a_3,...a1​,a2​,a3​,... be a GPGPGP of increasing positive numbers. If the product of fourth and sixth terms is 9 and the sum of fifth and seventh terms is 24, then a1a9+a2a4a9+a5+a7a_1a_9+a_2a_4a_9+a_5+a_7a1​a9​+a2​a4​a9​+a5​+a7​ is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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