Series Completion

1.120, 99, 80, 63, 48, ?

**Answer:**Option** 1**

Solution:

The pattern is - 21, - 19, - 17, - 15,.....So, missing term = 48 - 13 = 35.

2.589654237, 89654237, 8965423, 965423, ?

**Answer:**Option** 1**

Solution:

The digits are removed one by one from the beginning and the end in order alternatelyso as to obtain the subsequent terms of the series.

3.3, 10, 101, ?

**Answer:**Option** 1**

Solution:

Each term in the series is obtained by adding 1 to the square of the preceding term.So, missing term = (101)

4.125, 80, 45, 20, ?

**Answer:**Option** 1**

Solution:

The pattern is - 45, - 35, - 25, .....So, missing term = 20 - 15 = 5.

5.1, 1, 4, 8, 9, 27, 16, ?

**Answer:**Option** 1**

Solution:

The series consists of squares and cubes of consecutive natural numbers i.e. 1So, missing term = 4

6.1, 2, 3, 6, 9, 18, ?, 54

**Answer:**Option** 1**

Solution:

The pattern is x 2, x 3/2, x 2, x 3/2, x 2,.....So, missing term = 18 x 3/2 = 27.

7.6, 13, 25, 51, 101, ?

**Answer:**Option** 1**

Solution:

The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,.....So, missing term = 101 x 2 + 1 = 203.

8.1, 3, 4, 8, 15, 27, ?

**Answer:**Option** 1**

Solution:

The sum of any three consecutive terms of the series gives the next term.So, missing number = 8 + 15 + 27 = 50.

9.3, 4, 7, 7, 13, 13, 21, 22, 31, 34, ?

**Answer:**Option** 1**

Solution:

The given sequence is a combination of two series :I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34

The pattern in I is + 4, + 6, + 8, + 10,.....

The pattern in II is + 3, + 6, + 9, + 12,.....

So, missing term = 31 + 12 = 43.

10.198, 194, 185, 169, ?

**Answer:**Option** 1**

Solution:

The pattern is - 4, - 9, - 16,.....i.e. - 2So, missing pattern = 169 - 5