# Sequence and Series

Find the missing number of the sequence:

“3, 14, 25, 36, 47, ?”

[A]1111

[B]1113

[C]1114

[D]None of these

**None of these**

∴ Missing number in the sequence = 58.

So option [D] is the right answer.

The next term of the sequence 1, 2, 5, 26, … is:

[A]152

[B]677

[C]50

[D]47

**677**

The series is based on following pattern :

Therefore, the next number of this series will be 677.

Hence option [B] is correct.

The missing term in the sequence 0, 3, 8, 15, 24, …, 48 is:

[A]30

[B]39

[C]35

[D]36

**35**

Missing no. = 35

Hence option [C] is the right answer.

In the sequence of numbers 5, 8, 15, 20, 29, 40, 53, one number is wrong. The wrong number is :

[A]40

[B]20

[C]15

[D]29

**15**

∴ Incorrect No. = 15

Hence option [C] is the right answer.

1+2 + 3 + … + 49 + 50 + 49 + 48 + … + 3 + 2 + 1 is equal to:

[A]5000

[B]2525

[C]1250

[D]2500

**2500**

Required Sum =

Hence option [D] is the right answer.

The next number of the sequence 3, 5, 9, 17, 33 …. is :

[A]49

[B]60

[C]65

[D]50

**65**

∴ The next term in the sequence will be 65.

Hence option [C] is the right answer.

The next term of the sequence is :

[A]

[B]

[C]

[D]

Given sequence,

∴ Next term of the sequence = 8.75 + 2.75 = 11.5

Hence option [B] is the right answer.

The next number in the sequence 2, 8, 18, 32, 50, …. is :

[A]80

[B]72

[C]68

[D]76

**72**

The given sequence is based on the following pattern :

Hence, 72 will be the next number in this sequence.

Option [B] is the right answer.

Next term of the sequence 8, 12, 9, 13, 10, 14, … is :

[A]17

[B]15

[C]11

[D]16

**11**

The pattern of the sequence is :

11 will be the next term in this sequence.

The number of terms in the series 1 + 3 + 5 + 7 + …. + 73 + 75 is :

[A]30

[B]36

[C]38

[D]28

**38**

Let the number of terms be n.

It is an Arithmetic Series whose first term, a = 1 and common difference d = 2.

∴ n^{th} term = a + (n – 1) d

Hence option [C] is the right answer.