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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Let a1,  a2,  a3.......{a_1},\,\,{a_2},\,\,{a_3}....... be an A.P. If a1+a2+...+a10a1+a2+...+ap=100p2,p≠10,\frac{{{a_1} + {a_2} + ... + {a_{10}}}}{{{a_1} + {a_2} + ... + {a_p}}} = \frac{{100}}{{{p^2}}},p \ne 10, then a11a10\frac{{{a_{11}}}}{{{a_{10}}}} is equal to
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Correct option: C
2119\frac{{21}}{{19}}
Option C (2119\frac{{21}}{{19}}) is correct because it is the ratio of a11 to a10, derived from the given condition on the sum of the arithmetic progression.

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