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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy
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Analyzing +4 | -1
Let a1,a2,……,a30\mathrm{a}_{1}, \mathrm{a}_{2}, \ldots \ldots, \mathrm{a}_{30} be an A.P., S=∑i=130ai\mathrm{S}=\sum_{i=1}^{30} \mathrm{a}_{i} and T=∑i=115a(2i−1)\mathrm{T}=\sum_{i=1}^{15} \mathrm{a}_{(2 i-1)}
If a5=27\mathrm{a}_{5}=27 and S−2T=75\mathrm{S}-2 \mathrm{T}=75, then a10\mathrm{a}_{10} is equal to:
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Correct option: A
52
The correct answer is 52 because by using the properties of arithmetic progressions and the given equations, we can find the value of a10a_{10}.

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