Secondary Math Module 1 Sequences Detailed Answer Key

To solve problems involving numerical patterns, begin by identifying the relationship between consecutive values. This often involves recognizing arithmetic or geometric progressions. When dealing with a sequence, examine how each term changes relative to the previous one, as this will guide you in finding the missing values or completing the sequence correctly.

For arithmetic progressions, the difference between terms remains constant. Use this difference to derive the next term or identify any gaps in the sequence. In contrast, geometric progressions have a constant ratio between successive terms, so identifying this ratio is key to completing the pattern.

In cases where the pattern isn’t immediately obvious, break the problem into smaller parts and test various approaches. Try checking for other common types of sequences, such as those involving squares, cubes, or prime numbers. Drawing out the terms can often make the underlying structure more apparent, helping you to make faster and more accurate calculations.