Question 20

Find the missing number,

7, 8, 15, 34, 71, 132, ___________

1st order difference of the series is:
8-7 = 1
15 - 8 = 7
34 - 15 = 19
71 - 34 = 37
132 - 71 = 61.
2nd order difference is:
7-1 = 6
19 - 7 = 12
37 - 19 = 18
61 - 37 = 24Β 
So, the next 2nd order difference should be the next multiple of 6 i.e. 30.
This means that the next 1st order difference = 61 + 30 = 91.
And the next term of the series = 132 + 91 = 223.

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