Question

find the next number in the sequence 10, 37, 82, 145, 226

Answer 1

Answer:

10 ,37,82,145,226

10-37=47

47-2=42

37+42=82

same types 145+226=390

390-2=288

288 is correct answer

Answer 2

Answer:

The next number in the sequence 10, 37, 82, 145, 226 is 325

Step-by-step explanation:

The each number when subtracted with the succeeding number gives a difference which is multiple of nine. But the multiples of nine are obtained by the multiplying nine with the respective odd numbers as 3,5,7,9,11,......

So in the last subtraction the difference must  be 11×9=99

So by the back calculation method if we add the 226 and 99 we get 325. Hence the next number is 325.

$37-10=27=3\times9\\\\82-37=45=5\times9\\\\145-82=63=7\times9\\\\226-145=81=9\times9\\\\325-226=99=11\times9$