Question

Complete the series 25,26,29,34,41,50,

Answer 1

61............................

Answer 2

The complete series is 25, 26, 29, 34, 41, 50, 61.

Step-by-step explanation:

The given series is 25, 26, 29, 34, 41, 50

• The first number is 25
• The second number is 26
• Difference = 26 - 25 = 1

• The second number is 26
• The third number is 29
• Difference = 29 - 26 = 3

• The third number is 29
• The fourth number is 34
• Difference = 34 - 29 = 5

• The fourth number is 34
• The fifth number is 41
• Difference = 41 - 34 = 7

• The fifth number is 41
• The sixth number is 50
• Difference = 50 - 41 = 9

The series made by differences is 1, 3, 5, 7, 9, ... and clearly, each difference increases by 3 - 1 = 5 - 3 = 7 - 5 = ... = 2

Thus the next difference is (9 + 2) = 11

So, the next number is 50 + 11 = 61