Solutions for Secondary Math 1 Module 1 Sequences 1.5

Start by recognizing the structure of each progression. Identify whether it’s arithmetic or geometric by analyzing the common difference or ratio between consecutive terms. For arithmetic series, the difference between successive numbers remains constant, while in geometric progressions, each term is found by multiplying the previous one by a constant factor.

To solve problems efficiently, focus on the formula for the nth term. For arithmetic sequences, use an = a1 + (n – 1) * d, where a1 is the first term, n is the position of the term, and d is the common difference. For geometric sequences, the formula becomes an = a1 * r^(n – 1), where r is the common ratio.

Lastly, practice applying these formulas to specific problems. Work through examples involving both types of sequences, and make sure you understand how to find specific terms, sums, and other properties that might be asked in questions.