Question

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

Answer 1

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.