# Tech Mahindra Papers: Sample Questions 26 - 27 of 42

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## Question number: 26

Short Answer Question▾

### Write in Short

What will be the next term of the series?

2,5, 9,19,37, (? )

### Explanation

• First term of the series is 2.
• Second term of the series is 5, which can be expressed as
• Third term of the series is 9, which can be expressed as 5 2 - 1 = 9
• Fourth term of the series is 19, which can be expressed as 9 2 + 1 = 19
• Fifth term of the series is 37, which can be expressed as 19 2 – 1 = 37
• Applying the same pattern,
• Sixth term will be twice of previous term plus one.
• So, sixth term will be 37 2 + 1 = 75.
• Next term of the series is 75.

## Question number: 27

MCQ▾

### Question

Complete the following series.

0,2, 3,5, 8,10,15,17,24,26, ________

### Choices

Choice (4) Response

a.

45

b.

55

c.

35

d.

48

c.

### Explanation

• Here, difference between first two terms of the series (0 and 2) is 2.
• Difference between next two terms of the series (2 and 3) is 1.
• Difference between next two terms of the series (3 and 5) is 2.
• Difference between next two terms of the series (5 and 8) is 3.
• Difference between next two terms of the series (8 and 10) is 2.
• Difference between next two terms of the series (10 and 15) is 5.
• Difference between next two terms of the series (15 and 17) is 2.
• Difference between next two terms of the series (17 and 24) is 7.
• Difference between next two terms of the series (24 and 26) is 2.
• Here, difference between two terms remains 2 and odd numbers alternative.
• Like, 2,1, 2,3, 2,5, 2,7, 2,9, 2,11, ….
• So, now difference between 26 and next term should be 9.
• So, next term will be .