GEOMETRIC PROGRESSION (PG) - HOW DOES IT FALL IN A COMPETITION?
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Subscribe to the channel and ask me your questions! =D ▶ Do you want to support the channel? =D PIX: [email protected] PDF sheet: https://drive.google.com/file/d/1-45f... Geometric Progression (PG) 1. Consider the geometric progression whose initial term is equal to 10 and the ratio equal to 3. The seventh term of this progression is equal to: a) 2430 b) 7290 c) 1800 d) 6000 2. Being a geometric progression given by (32, α, 8, x, 2, b, 1/2) and an arithmetic progression given by (1, x, y, w, 13). Select the alternative that presents the value of the sum x, y and w. a) 21 b) 20 c) 19 d) 17 e) 18 3. A soldier, a sergeant and a lieutenant have their ages, in years, arranged in geometric progression, with the soldier being the youngest of the three, and the lieutenant, the oldest. Knowing that the product of these ages, in years, is 27,000 and that the sum of the sergeant's and lieutenant's ages is 75 years, judge the following item. The combined age of the soldier and sergeant is less than 48 years old. ( ) Right ( ) Wrong 4. A factory started production with 4 items. Knowing that the number of items produced by the factory in each consecutive year follows a geometric progression and that, in the fifth year, 324 items were produced, what is the total number of items manufactured in these first five years? a) 434 b) 844 c) 448 d) 848 e) 484 5. The first term of a GP (geometric progression) is equal to 6 and the second term is equal to 2. Under these conditions, considering the infinite terms of this PG, then the sum of all terms will be equal to: a) 12 b) 9 c) 15 d) 16 6. A geometric progression has 4 terms, the result of the sum of its terms is 120 and the product is 3¹º. Based on this, it is CORRECT to state that the product of the 1st term of the progression with the 4th term is equal to: a) 64 b) 81 c) 144 d) 243 e) 729
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