Common difference of an AP whose nth

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Q.
Assertion (A): Common difference of an AP whose nth term is given by $a ₙ = 4 n - 70 i s 4$

Reason (R): $d = a ₙ - a ₙ ₋ ₁$

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)

$G i v e n n ᵗ ʰ t e r m o f a n A P i s a ₙ = 4 n - 70$

$d = a ₙ - a ₙ ₋ ₁ = (4 n - 70) - 4 (n - 1) + 70$

$= 4 n - 70 - 4 n + 4 + 70 = 4$

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

Solution

Q.
Assertion (A): Common difference of an AP whose nth term is given by $a ₙ = 4 n - 70 i s 4$

Reason (R): $d = a ₙ - a ₙ ₋ ₁$

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)

$G i v e n n ᵗ ʰ t e r m o f a n A P i s a ₙ = 4 n - 70$

$d = a ₙ - a ₙ ₋ ₁ = (4 n - 70) - 4 (n - 1) + 70$

$= 4 n - 70 - 4 n + 4 + 70 = 4$

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): Common difference of an AP whose nth term is given by aₙ = 4n – 70 is 4 Reason (R): d = aₙ – aₙ₋₁

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) Given nᵗʰ term of an AP is aₙ = 4n – 70 d = aₙ – aₙ₋₁ = (4n – 70) – 4(n – 1) + 70 = 4n – 70 – 4n + 4 + 70 = 4 Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

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Q.
Assertion (A): Common difference of an AP whose nth term is given by $a ₙ = 4 n - 70 i s 4$

Reason (R): $d = a ₙ - a ₙ ₋ ₁$

Ans.
(1)

$G i v e n n ᵗ ʰ t e r m o f a n A P i s a ₙ = 4 n - 70$

$d = a ₙ - a ₙ ₋ ₁ = (4 n - 70) - 4 (n - 1) + 70$

$= 4 n - 70 - 4 n + 4 + 70 = 4$

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