Question

reasoning number series 14,19,29,49,89,— what in the next number series ​

Answer 1

Answer:

169

Explanation:

• The number added to 14 to become 19 is 5, now the difference between 29 and 19 is 10 and the difference between 49 and 29 is 20 and the next differences are 40,80.
• The differences between the numbers are 5, 10, 20, 40, 80….
• As you see that the difference increases with each number or more likely it doubles as we go on therefore, the next value of the series is 89 + 80 = 169.

Answer 2

Answer:

The next number in the given series will be 169.

Explanation:

Given,

First number = 14

14 + 5 (1) = 14 + 5 = 19

19 + 5 (2) = 19 + 10 = 29

29 + 5 (4) = 29 + 20 = 49

49 + 5 (8) = 49 + 40 = 89

89 + 5 (16) = 89 + 80 = 169

The series always move on with some unique way. Here, in every next step, the number which is being multiplied by 5 is doubled. Thus, we can find the order of multiplication is like 1, 2, 4, 8, 16,... . Hence it is doubled at every step.

The doubled number is being multiplied with the number 5 constantly at every step and is being added to the previous result to make the next number of the series.

Thus, the next number in the given series will be 169.