Question

Complete the series:
2,3,10,29,66,?

Answer 1

Answer:

Answer is 127

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Answer 2

127  is the answer:

Given:

Series – 2, 3, 10, 29, 66…..

To find:

The next number in the series

Solution:

From the above-given series

If we take the numbers that are next to each other separately and subtract them we get,

3 – 2 = 1

10 – 3 = 7

29 – 10 = 19

66 – 29 = 37

Taking the numerals we get: 1, 7, 19, and 37

Now repeat the same step as above and subtract the number next to each other we get,

7 – 1 = 6

19 – 7 = 12

37 – 19 = 18

From the answers above we can observe a pattern, which is that they are multiples of 6:

6 x 1 = 6

6 x 2 = 12

6 x 3 = 18

Following this pattern, the next number when subtracted should give us a number, which when subtracted with 37, should give us 24, which is the next multiple in the series (6x 4 = 24). Therefore taking the missing number after one subtraction as X:

X – 37 = 24

X = 24 + 37

X = 61

Since we have the result of the second subtraction, To find the missing number, we must subtract 66 from the missing number to get 61. Therefore:

? – 66 = 61

? = 61 + 66

? = 127

Therefore the missing number is 127.

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