What is the next term in the sequence 10, 20, 30, 40?

The next term in the sequence 10, 20, 30, 40 is 50.

This sequence is an example of an arithmetic sequence, where each term increases by a constant amount. In this case, the common difference between each term is 10. To find the next term, you simply add this common difference to the last term in the sequence. So, 40 + 10 equals 50.

Arithmetic sequences are a fundamental concept in GCSE Maths. They follow a simple rule: you start with an initial term and then add a fixed number, known as the common difference, to get the next term. For example, in the sequence given, the first term is 10, and the common difference is 10. Therefore, the sequence progresses as 10, 20, 30, 40, and so on.

Understanding how to identify and extend arithmetic sequences is crucial because it forms the basis for more complex topics in mathematics, such as solving linear equations and understanding geometric sequences. By mastering this concept, you'll be better equipped to tackle a variety of problems in your GCSE Maths exams.