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The number of streetlights in a town is growing linearly. Four months ago (n = 0) there were 130 lights. Now (n = 4) there are 146 lights. If this trend continues, answer the following: 4. Find an explicit formula for the number of lights in month n. b. How many months will it take to reach 200 lights?

The number of streetlights in a town is growing linearly. Four months ago (n = 0) there were 130 lights. Now (n = 4) there are 146 lights. If this trend continues, answer the following: 4. Find an explicit formula for the number of lights in month n. b. How many months will it take to reach 200 lights?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Po=158 P₁ = P₁-1 + 35 Pi-Pot 35 (P-150+ 33 = 185) b. Find an explicit formula for P Pn Pn-1 +3 Poz 2 P2= P₂-1 +33 P2 = pi + 35 Poz 3 P₁= P₁-1137 c. Use your formula to predict the number of houses in 9 years. (P₁-Por 3 = 3+3=6) Pa P2Pz-1+37 P2 = 6+3=9 d. When will the number of houses read 675 houses? 2255 P₂ = 1831 33=220 b. How many months will it take to reach 200 lights? The number op house in 9 years. 3, 6, 9, 12, 15, 15221 24 (27) Ans 5. The number of streetlights in a town is growing linearly. Four months ago (n = 0) there were 130 lights. Now (n = 4) there are 146 lights. If this trend continues, answer the following: 4. Find an explicit formula for the number of lights in month n.
Transcribed Image Text:Po=158 P₁ = P₁-1 + 35 Pi-Pot 35 (P-150+ 33 = 185) b. Find an explicit formula for P Pn Pn-1 +3 Poz 2 P2= P₂-1 +33 P2 = pi + 35 Poz 3 P₁= P₁-1137 c. Use your formula to predict the number of houses in 9 years. (P₁-Por 3 = 3+3=6) Pa P2Pz-1+37 P2 = 6+3=9 d. When will the number of houses read 675 houses? 2255 P₂ = 1831 33=220 b. How many months will it take to reach 200 lights? The number op house in 9 years. 3, 6, 9, 12, 15, 15221 24 (27) Ans 5. The number of streetlights in a town is growing linearly. Four months ago (n = 0) there were 130 lights. Now (n = 4) there are 146 lights. If this trend continues, answer the following: 4. Find an explicit formula for the number of lights in month n.
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