Assertion (A): The common diff

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Q.
Assertion (A): The common difference of AP 5, 4, 3, 2, … is –1.

Reason (R): The constant difference between any two consecutive terms of an AP is commonly known as common difference of the AP.

1 Both A and R are true, and R is the correct explanation of A.

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

3 A is true, but R is false

4 A is false, but R is true.

Ans.
(1)

We have AP 5, 4, 3, 2, … [common difference = 4 – 5 = 3 – 4 = –1]

∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

Solution

Q.
Assertion (A): The common difference of AP 5, 4, 3, 2, … is –1.

Reason (R): The constant difference between any two consecutive terms of an AP is commonly known as common difference of the AP.

1 Both A and R are true, and R is the correct explanation of A.

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

3 A is true, but R is false

4 A is false, but R is true.

Ans.
(1)

We have AP 5, 4, 3, 2, … [common difference = 4 – 5 = 3 – 4 = –1]

∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

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Solution

Q. Assertion (A): The common difference of AP 5, 4, 3, 2, … is –1. Reason (R): The constant difference between any two consecutive terms of an AP is commonly known as common difference of the AP.

1 Both A and R are true, and R is the correct explanation of A.

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

3 A is true, but R is false

4 A is false, but R is true.

Ans. (1) We have AP 5, 4, 3, 2, … [common difference = 4 – 5 = 3 – 4 = –1] ∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

Want Us to Email you About Special Offers & Updates?

Q.
Assertion (A): The common difference of AP 5, 4, 3, 2, … is –1.

Reason (R): The constant difference between any two consecutive terms of an AP is commonly known as common difference of the AP.

Ans.
(1)

We have AP 5, 4, 3, 2, … [common difference = 4 – 5 = 3 – 4 = –1]

∴ Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).