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Sequences and Series question

2020 · 7 Jan · Shift 2 · Q21
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Sequences and Series question

2020 · 7 Jan · Shift 2 · Q21

JEE MainMathematicsSequences and SeriesMCQ+4 / −1
Let a1{a_1}a1​, a2{a_2}a2​, a3{a_3}a3​,....... be a G.P. such that a1{a_1}a1​< 0, a1{a_1}a1​+a2{a_2}a2​= 4 and a3{a_3}a3​+a4{a_4}a4​= 16. If ∑i=19ai=4λ\sum\limits_{i = 1}^9 {{a_i}} = 4\lambdai=1∑9​ai​=4λ, then λ\lambdaλ is equal to:
  1. A
    171
  2. B
    -171
  3. C
    -513
  4. D
    5113{{511} \over 3}3511​
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