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The next number in the arithmetic sequence 10, 23, 36,_is:49.46.43.50.

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4 votes

The given sequence is as follows:


10,23,36,\ldots

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:


\begin{gathered} a_4=10+(4-1)13 \\ a_4=10+3*13 \\ a_4=10+39 \\ a_4=49 \end{gathered}

Thus, the next number in the arithmetic sequence is 49.

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