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Arithmetic Progressions
CBSE 2026 Board Exam Set 1 (Code 30/1/1)
CBSE_BOARD_PYQ_2026_30_1_1
Grade 10
Question:
[Section A]
Assertion (A): The common difference of the A.P. $10, 5, 0, -5, \dots$ is $-5$. Reason (R): In an A.P., common difference $d$ is given by $d = a_{n+1} - a_n$.
(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A). (B) Both Assertion (A) and Reason (R) are true but Reason (R) is NOT the correct explanation of Assertion (A). (C) Assertion (A) is true but Reason (R) is false. (D) Assertion (A) is false but Reason (R) is true.
Step-by-Step Solution
Key Concept: Definition of common difference in AP.
Sol. (A) Both A and R are true and R is correct explanation of A. [1.0 Mark]
Correct Answer:(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
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