Learning Target: I will be able to use geometric series formulas in order to solve real life scenario. Deeper Understanding 3: a1 – a,r" S. Sonja is cutting wire to construct a mobile. She cuts 100 inches for the first piece, 80 inches for the second piece, and 64 inches for the third piece. Assuming this pattern continues, write an explicit equation for an , the length in inches of the nth piece. 1-r wheres,the um the first term Rumber of term the constant ratia,r a, = a, (r)" -1 Sonja only has 40 feet of wire to use for the project and wants to cut 20 pieces total for the mobile using her pattern. Will she have enough wire? Justify your answer. a, = nth term a, = first term r= common ratio n= term position
Learning Target: I will be able to use geometric series formulas in order to solve real life scenario. Deeper Understanding 3: a1 – a,r" S. Sonja is cutting wire to construct a mobile. She cuts 100 inches for the first piece, 80 inches for the second piece, and 64 inches for the third piece. Assuming this pattern continues, write an explicit equation for an , the length in inches of the nth piece. 1-r wheres,the um the first term Rumber of term the constant ratia,r a, = a, (r)" -1 Sonja only has 40 feet of wire to use for the project and wants to cut 20 pieces total for the mobile using her pattern. Will she have enough wire? Justify your answer. a, = nth term a, = first term r= common ratio n= term position
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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Transcribed Image Text:Learning Target: I will be able to use geometric series formulas in order to solve real life scenarios
Deeper Understanding 3:
a1 – a,r";
Sonja is cutting wire to construct a mobile. She cuts 100 inches for
the first piece, 80 inches for the second piece, and 64 inches for the
third piece. Assuming this pattern continues, write an explicit
equation for an, the length in inches of the nth piece.
1-r
where S,the sum
, the first term
RRumber of terms
Pthe constant ratia,r
a, = a, (r)"|
Sonja only has 40 feet of wire to use for the project and wants to cut
20 pieces total for the mobile using her pattern. Will she have
enough wire? Justify your answer.
a, = nth term
a, = first term
r= common ratio
n= term position
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