3, 10, 29, 66, 127, ?
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The answer is 212........
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Difference between successive terms
- 10-3=7
- 29-10=19
- 66-29=37
- 127-66=61
Let us arrange it in a series form
7, 19, 37, 61
Now take the difference between these terms
- 19-7=12
- 37-19=18
- 61-37=24
So the difference is a multiple of 6.
So the next difference is 30.
- X-61=30
- X=91
So now looking to our original series
after 127 the next no is
➝ 127+91=218
➝ X-127=91
So next number in the series is 218
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