Chapter 1
Numbers and Operations
Course: Gace Middle Grades Math 4 8 704
Subject: Gace Middle Grades Math 4 8 704
Chapter: Functions
1. Writes arithmetic sequences both recursively and with an explicit formula and uses them to model situations
An arithmetic sequence is a list of numbers where the difference between consecutive terms is always the same. This constant difference is called the common difference and is usually represented by d. Arithmetic sequences are a discrete version of linear functions, because instead of producing outputs for every real value of x, they only generate terms for integer values of n (n = 1, 2, 3, …).
Recursive formula
A recursive formula describes the sequence by defining each term in relation to the one before it. It requires knowing the first term and the constant difference.
General form: a₁ = first term aₙ = aₙ₋₁ + d, for n > 1