Math Problem Statement

Recursive form & explicit form

Write a recursive and explicit formula for the sequence shown in the graph.

Solution

The graph shows a sequence where the first term corresponds to the value 4 at n=1n = 1. The points seem to follow a linear pattern, indicating that the sequence increases by a constant

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Math Problem Analysis

Mathematical Concepts

Sequences
Linear Sequences
Recursive Formulas
Explicit Formulas

Formulas

Recursive formula: a(n) = a(n-1) + d, where d is the common difference
Explicit formula: a(n) = a(1) + (n - 1) * d

Theorems

Arithmetic Sequence Formula

Suitable Grade Level

Grades 6-8

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