CBSE Class 10 Maths (Basic) 2024 · Paper 430/5/1 · Question 20

Arithmetic Progressions 1 mark Hard

A sser t i o n (A) :

Common difference of the A.P.

5, 1, - 3, - 7, \dots

is 4.

R e a so n (R) :

Common difference of the A.P.

a_{1}, a_{2}, a_{3}, \dots, a_{n}

is obtained by

d = a_{n} - a_{n - 1}

Assertion (A): Common difference of the A.P. 5, 1, -3, -7, ... is 4.

Reason (R): Common difference of the A.P. a1, a2, a3, ..., an is obtained by d = an - a(n-1).

(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.

Answer

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

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