In an A.P. a = -36, d = 18 and l = 36, then n is :

1. 10

2. 5

3. 15

4. 20

Do the numbers 1², 5², 7², 73 ….. form an A.P. ? If yes, its next term will be :

1. Yes, 11²

2. No

3. Yes, 97

4. Yes, 24

For the given numbers $\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48}…………$

Assertion (A):

To find whether these terms form an A.P. or not. Express each term as the product of a natural number and $\sqrt{3 }$ i.e.,

$\sqrt{3} = 1 \times \sqrt{3}, \sqrt{12} = 2\sqrt{3}, \sqrt{27} = 3\sqrt{3}, \sqrt{48} = 4\sqrt{3}$, etc.

Reason (R): Since, for the given number difference between the consecutive term is same. It is an A.P.

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.

5, 8, 11, 14, …………… are in AP.

Assertion (A): $\dfrac{5}{2}, 4, \dfrac{11}{2}, 7,$ …………… are also in AP.

Reason (R): If each term of a given A.P. is divided by the same non zero number, the resulting sequence is an A.P..

1. A is true, R is false.

2. A is false, R is true.

3. Both A and R are true and R is correct reason for A.

4. Both A and R are true and R is incorrect reason for A.