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JEE Math Practice Question

If each term of a geometric progression $$a_1, a_2, a_3, \ldots$$ with $$a_1=\frac{1}{8}$$ and $$a_2 \neq a_1$$, is the arithmetic mean of the next two terms and $$S_n=a_1+a_2+\ldots . .+a_n$$, then $$S_{20}-S_{18}$$ is equal to

  1. A.$$-2^{15}$$
  2. B.$$2^{15}$$
  3. C.$$-2^{18}$$
  4. D.$$2^{18}$$

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