The given sequence is as follows:
[tex]10,23,36,\ldots[/tex]The first term of the sequence is a = 10 and the common difference of sequence is d = 13.
The 4th term of sequence can be determined as follows:
[tex]\begin{gathered} a_4=10+(4-1)13 \\ a_4=10+3\times13 \\ a_4=10+39 \\ a_4=49 \end{gathered}[/tex]Thus, the next number in the arithmetic sequence is 49.
