Geometric progression - practice problems - page 8 of 13
Number of problems found: 259
- Subsequent 8261
Mr. Peter needs to dig a 20m deep well on his property. The AZET company charges 1 euro for the first meter and 2x more for each subsequent meter. The ZETA company charges 200 euros for each meter of well depth. Which company should Mr. Peter choose if he - The machine
The annual depreciation of the machine is 10%. After eight years, the machine is worth 697 euros. What was the price of this machine at the time of purchase? - Loan 5
Abdul takes a loan of 200000 from Ali and agrees to repay in several installments. Each installment begins with the 2nd, exceeding the previous one by 1000. If the first installment is 500, find how many installments will be necessary to be wiped out of t - Profit growth
A company's profit increased by 25% during 1992, increased by 40% during 1993, decreased by 20% in 1994, and increased by 10% during 1995. Find the average growth in the profit level over the four years.
- Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants? - Distribute 7988
Tomas was to distribute 259 cards with pictures of football players among three friends. And each subsequent friend had to get 2x more cards than the previous one. How many cards did the other friend receive? - Infinite sum of areas
An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the - Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - The crime
The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in 1990 and the crime rate remains constant each year, determine the approximate number of crimes in 2025.
- Tickets
On Monday, the cinema sold 33 tickets. Every next day, twice as many as the previous day. How many tickets were sold on Friday, and how many totals from Monday to Friday? - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - A perineum A perineum string is 10% shorter than its original string. The first string is 24. What is the 9th string or term?
- GP members The geometric sequence has ten members. The last two members are 2 and -1. Which member is -1/16?
- Account operations
My PHP 90,000 savings in a bank earns 6% interest in a year. If I deposit an additional PHP 10,000 at the end of 6 months, how much money will be left if I withdraw PHP 25,000 after a year?
- Population growth
How many people will be on Earth from two people for 5,000 years if every couple always has four children (2 boys and two girls) at the age of 25-35, and every man will live 75 years? - Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3 - Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members. - Calculate 6414
If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence. - Depreciate 6413
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach
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