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 and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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