Geometric progression - practice problems - page 9 of 14
Number of problems found: 280
- 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? - Football card distribution
Thomas 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 A1B1 C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1 C1 is built triangle A2B2 C2, and so on. The procedure is repeated continuously. What is t - Cell division
At the end we could have something simpler and a bit (at least mathematically) more fun... At the beginning there was nothing... But no, here we have at the beginning one single cell. This cell is not just any ordinary cell, it is special, because there i - Needs
Hannah needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the savin - 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?
- Infinite Series Equation
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. - Determination of a sequence
A sequence is given whose first three members are a1= 70, a2=64, a3=58. 1, decide whether it is an arithmetic or a geometric sequence and accordingly determine the value of d or q. 2, determine the value of the fifteenth member of the sequence. 3, determi - Geometric Sequence Adding Number
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. - Machine depreciation
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 - Geometric progression In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
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