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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 16E
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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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