# Choose the correct alternative from the given ones that will complete the series :

**Directions:** In the following 2 questions, a series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.

- 3, 11, 31, 57, 91, 133, ____

(a) 181 (b) 143 (c) 183 (d) 151 - 8, 16, 48, 96, 288, 576, _____

(a) 1052 (b) 1728 (c) 2880 (d) 1152

**1. Answer: (c) 183**

**Explanation:-**

(1)² + 2= 3

(3)² +4 = 13

(5)² +6 = 31

(7)² +8 =57

(9)² +10 =91

(11)² +12 = 133

so, **(13)² + 14 =183**

Then, the next number is (c) 183,

Hence, the correct answer is option (c) 183.

2. **Answer: (b) 1728**

**Explanation:- **

8 x 2 = 16, 16 x 3 = 48, 48 x 2 = 96, 96 x 3 = 288, 288 x 2 = 576,

Same as, 576 x 3 = 1728

Then, the next number is 1728.

Hence, the correct answer is option (b) 1728.