Answer :
[tex]\begin{array}{l|lll} 10&&\\ &+27\to &3^2\cdot 3\\ 37&&\\ &+45\to &3^2\cdot 5\\ 82&&\\ &+63\to &3^2\cdot 7\\ 145&&\\ &+81\to &3^2\cdot 9\\ 226&&\\ &+99\to &3^2\cdot 11\\ \boxed{325}&& \end{array}[/tex]
The next number of the sequence 10,37,82,145,226 will be 325.
What is a series?
A sequence's series is the total number of terms in the sequence.
A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Given the numbers
10,37,82,145,226
Now the difference between the two terms
10 - 37 = 27 = 9(3)
82 - 37 = 45 = 9(5)
145 - 82 = 63 = 9(7)
226 - 145 = 81 = 9(9)
So,
bnumber - 226 = 9(11)
Next number = 99 + 226 = 325.
Hence correct term will be 325.
For more information about the series
brainly.com/question/15415793
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