Answer: The next term in the sequence is 5.
Step-by-step explanation: We are given to find the next term in the following sequence :
1.31, 2.54, 3.77, . . . .
We can see the following pattern in the consecutive terms of the given sequence :
![2.54=1.31+1.23,\\\\3.77=2.54+1.23,\\\\\\\vdots~~~~~\vdots~~~~\vdots](https://img.qammunity.org/2019/formulas/mathematics/high-school/rk8lbse6kudnziejgwg24o4f6ck6oii1ne.png)
Therefore, the next term in the given sequence will be the last given term plus 1.23.
That is, the next term will be
![3.77+1.23=5.00.](https://img.qammunity.org/2019/formulas/mathematics/high-school/urtbermwbmrmmb3y8jbg7mon8j34rfm8tq.png)
Thus, the next term in the sequence is 5.