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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Let a1,a2,…,a9a_1, a_2, \ldots, a_9 be in G.P. with a1<0a_1 < 0 such that a1+a2=4,a3+a4=16a_1+a_2=4, a_3+a_4=16. If ∑i=19ai=4λ\sum\limits_{i=1}^9 a_i=4 \lambda, then λ\lambda is equal to
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Correct option: C
−171-171
Option C is correct because by finding the common ratio and the first term of the G.P., the sum of the first 9 terms can be calculated, leading to λ=−171\lambda = -171.

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