5, 10, 15 are three consecutive terms

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Q.
Assertion (A): 5, 10, 15 are three consecutive terms of an AP.

Reason (R): If a, b, c are three consecutive terms of an AP, then 2b = a + c.

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)

5, 10, 15 are in AP.
⇒ 10 – 5 = 15 – 10 = 5 (difference is same)

If a, b, c are three consecutive terms of an AP, then
b – a = c – b ⇒ 2b = a + c

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

Solution

Q.
Assertion (A): 5, 10, 15 are three consecutive terms of an AP.

Reason (R): If a, b, c are three consecutive terms of an AP, then 2b = a + c.

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)

5, 10, 15 are in AP.
⇒ 10 – 5 = 15 – 10 = 5 (difference is same)

If a, b, c are three consecutive terms of an AP, then
b – a = c – b ⇒ 2b = a + c

So, 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): 5, 10, 15 are three consecutive terms of an AP. Reason (R): If a, b, c are three consecutive terms of an AP, then 2b = a + c.

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) 5, 10, 15 are in AP. ⇒ 10 – 5 = 15 – 10 = 5 (difference is same) If a, b, c are three consecutive terms of an AP, then b – a = c – b ⇒ 2b = a + c So, Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).

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Q.
Assertion (A): 5, 10, 15 are three consecutive terms of an AP.

Reason (R): If a, b, c are three consecutive terms of an AP, then 2b = a + c.

Ans.
(1)

5, 10, 15 are in AP.
⇒ 10 – 5 = 15 – 10 = 5 (difference is same)

If a, b, c are three consecutive terms of an AP, then
b – a = c – b ⇒ 2b = a + c

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