In the sequence of matchstick figures shown, assume that the discovered pattern continues and let T(n) be the function giving the total number of matchsticks in the nth figure. a. Find the total number of matchsticks in the fourth figure. b. Find a formula for T(n) in terms of n.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 77E
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In the sequence of matchstick figures shown,
assume that the discovered pattern continues
and let T(n) be the function giving the total
number of matchsticks in the nth figure.
a. Find the total number of matchsticks in the
fourth figure.
b. Find a formula for T(n) in terms of n.
4#
1
a. The total number of matchsticks in the fourth figure will be 54.
(Type a whole number.)
b. The formula for T(n) in terms of n is T(n) =
2
3
Transcribed Image Text:In the sequence of matchstick figures shown, assume that the discovered pattern continues and let T(n) be the function giving the total number of matchsticks in the nth figure. a. Find the total number of matchsticks in the fourth figure. b. Find a formula for T(n) in terms of n. 4# 1 a. The total number of matchsticks in the fourth figure will be 54. (Type a whole number.) b. The formula for T(n) in terms of n is T(n) = 2 3
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