A1 Unit 1 Test (Version A) - Sequences and Formulas

Flashcards based on the Unit 1 Test Answer Key focusing on common differences, ratios, and algebraic sequence formulas.

common difference

The constant value added to (or subtracted from) each consecutive term in an arithmetic sequence, identified in the notes as values such as $0$ and $-6$.

common ratio

The factor by which a term is multiplied to find the next term in a geometric sequence, with examples provided being $3$ and $\frac{1}{2}$.

initial food amount

The starting value for a weight-based sequence at Day 0, which is exactly $2500\,grams$.

food remaining formula

Refers to the linear expression $2500 - 80n$, where $80$ represents the daily decrease in food over $n$ days.

explicit formula (arithmetic)

A formula used to find any term in a sequence; examples from the text include $100 - 30(n - 1)$ and its simplified form $130 - 30n$.

term value vs. term number

The relationship in a sequence where a specific position (number) corresponds to a specific result (value), such as Term Number 1 having a Term Value of $45$.

sequence recurrence pattern

A rule describing how to generate subsequent terms, such as 'Start with a value and subtract $30$ repeatedly'.