Given below are two statements, one is labelled as Assertion (A) and the other…

PYQ UPPSC LT Grade (Assistant Teacher) 2025

Given below are two statements, one is labelled as Assertion (A) and the other as Reason (R). Select the correct answer using the options given below :

Assertion (A): The sum of infinite geometric series Σ(n=1 to ∞)(−1)ⁿ cannot be found.

Reason (R): The sum of infinite geometric series Σ(n=1 to ∞)rⁿ is 1/(1−r) provided that −1<r<1.

Options:

  1. A.

    (A) is true, but (R) is false.

  2. B.

    Both (A) and (R) are true, but (R) is not the correct explanation of (A).

  3. C.

    (A) is false, but (R) is true.

  4. D.

    Both (A) and (R) are true and (R) is the correct explanation of (A).

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