Geometric progression - high school - practice problems - page 7 of 12
Number of problems found: 228
- 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. - 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 savings of PHP 90,000 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 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 - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
- Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1? - Calculate 5539
Calculate the quotient of the geometric sequence if the sum of the first two terms equals 1.1, and a6 = 10000. A quotient is a natural number. - Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93. - Calculate 5514
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272.
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