Question

Find the next two numbers of series 1. 5 ,8,17,44,125,-,-
2: 15,51,26,62,37,73,-,-

Answer 1

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Answer 2

1. The first series is 5, 8, 17, 44, 125,.

The difference is calculated by adding multiples of 3 to the next number. Thus,  

Difference  of  (5, 8) = 3

,,  of (8, 17) = 9

,,  of  (17, 44) = 27

,,  of (44, 125) = 81

So, the next number should have a difference of 81 × 3 = 243

Thus, the number should be 125 + 243 = 368.

And, 243 × 3 = 729

Thus, the next number is 368 + 729 = 1097

The given series would be 5, 8, 17, 44, 125, 368, 1097.

2. The second series is 15, 51, 26, 62, 37, 73...

Here, the series is obtained by adding 36 and subtracting 25 alternately.

Thus,  15 + 36 = 51

51 - 25 = 26

26 + 36 = 62

62 – 25 = 37

37 + 36 = 73

73 – 25 = 48

48 + 36 = 84

Therefore, the series is 15, 51, 26, 62, 37, 73, 48, 84.