What must be added to x³ + 7x² + 3x + 2 so that the result is completely divisible by (x + 2)?

1. −40

2. −16

3. 16

4. 40

Assertion (A): The 9^th term of a Geometric Progression (G.P.) 6, −12, 24, −48, … is a positive term.

Reason (R): The value of (−2)⁸ is always positive.

1. (A) is true and (R) is false.

2. (A) is false and (R) is true.

3. Both (A) and (R) are true and (R) is the correct explanation of (A).

4. Both (A) and (R) are true but (R) is not the correct explanation of (A).

The fourth and seventh terms of an Arithmetic Progression (A.P.) are 60 and 114 respectively. Find the :

(a) first term and common difference.

(b) sum of its first 10 terms.