The figure shows the first three in a sequence of squares. The first square in the sequence has a side length of 3 units, and each square after that has a side length that is 2 units longer than the previous square. What is the explicit equation for f(n) that represents the areas of the squares the sequence? Of(n) = 2(n-1)² +3 Of(n)=(3+2(n-1))² Of(n)=(3+2n)² Of(n)=3n²

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The figure shows the first three in a sequence of squares. The first square in the sequence has a side length of 3 units, and each square after that has a side length that is 2 units longer than the previous square.
What is the explicit equation for f(n) that represents the areas of the squares in the sequence?
Of(n) = 2(n-1)² +3
Of(n)=(3+2(n-1))²
Of(n)=(3+2n)²
Of(n) = 3n²
Transcribed Image Text:The figure shows the first three in a sequence of squares. The first square in the sequence has a side length of 3 units, and each square after that has a side length that is 2 units longer than the previous square. What is the explicit equation for f(n) that represents the areas of the squares in the sequence? Of(n) = 2(n-1)² +3 Of(n)=(3+2(n-1))² Of(n)=(3+2n)² Of(n) = 3n²
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