To determine the next term in the sequence $4, 5, 7, 10, \ldots$, let's first look at the differences between consecutive terms:

$5 - 4 = 1$ $7 - 5 = 2$ $10 - 7 = 3$

We can see that the differences between the terms are increasing by 1 each time.

To find the next term, we add the next difference (which is 4) to the last term (which is 10):

$10 + 4 = 14$

So, the next term in the sequence is $14$.

Would you like more details or have any questions?

Here are 5 questions you might want to ask:

1. 如何求解一阶线性递推关系？
2. 什么是等差数列？
3. 如何求解二次方程？
4. 什么是斐波那契数列？
5. 如何计算一个数列的和？

Tip: 识别数列的递推关系或规律，可以帮助你快速找到下一个项或进一步分析数列的性质。