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CBSE Class 10 Maths (Standard) 2024 · Paper 30(B) · Question 20

Arithmetic Progressions 1 mark Hard
Two statements are given - one labelled Assertion (A) and the other labelled Reason (R). Select the correct option.

Assertion (A): The sum of the first fifteen terms of the AP 21, 18, 15, 12, ... is zero.

Reason (R): The sum of the first n terms of an AP with first term 'a' and common difference 'd' is given by .

  1. (a)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  2. (b)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
  3. (c)Assertion (A) is true, but Reason (R) is false.
  4. (d)Assertion (A) is false, but Reason (R) is true.

Answer

(c) Assertion (A) is true, but Reason (R) is false.

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