Arithmetic progression + geometric progression - practice problems - page 4 of 8
Number of problems found: 148
- Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t - The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Half of halves
Half of the square we cut off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Entrepreneur 22941
Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate what the amount will be on the deposit account after three years.
- Calculate 22653
In a geometric sequence, the first term is 5, and the quotient is 4. Calculate the 4th, 6th, and 10th members of this sequence. - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua - Five element
The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5. - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Growth of wood
The annual growth of wood in the forest is estimated at 2%. In how many years will make the forest volume double?
- Pilsen circus
A city citizen saw the circus's arrival in Pilsen in the morning at 08:00. He passed this information at 08:15 to three other city residents. Each of these three people then informed the other three residents at 08:30, and again at 08:45, they reported th - Pilsen Region
Between 2000 and 2001, 14 per mille of the population decreased in the Pilsen Region. In 2000, the Pilsen Region had 551281 inhabitants. If the declining trend continues the same (i.e., 14 per mille of inhabitants per year), how many inhabitants will the - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Six speeds
A drilling machine is to have six speeds ranging from 50 to 750 revolutions per minute. If the speed forms a geometric progression, determine their values. - Three members GP
The sum of three numbers in GP (geometric progression) is 21, and the sum of their squares is 189. Find the numbers.
- Investment 2
Jack invested $5000 in a 5-month term deposit at 4.7% pa. At the end of the five months, Jack reinvested the maturity value from the first deposit into an 11-month term deposit at 7.3% pa. What is the maturity value at the end of the second term deposit? - Curiosity factor
A blogger starts a new website. Initially, the number of traffic was 293 due to their curiosity factor. The business owner estimated that the traffic would increase by 2,6% per week. What will be the number of it in week 5? - 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 th
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