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Question 7

Mathematics Sequence And Series Hard

Sum to infinity of a geometric is twice the sum of first two terms. Then what are the possible values of the common ratio?

(A) <span class="math-tex">\(\pm \frac{1}{\sqrt{2}}\)</span>
(B) <span class="math-tex">\(\pm \frac{1}{2}\)</span>
(C) <span class="math-tex">\(\pm \frac{1}{\sqrt{3}}\)</span>
(D) <span class="math-tex">\(\pm \frac{1}{3}\)</span>
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Correct Solution: Option A

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