Geometric progression - examples

  1. Microorganisms
    microorganisms The first generation of micro-organisms has a population of 13500 members. Each next generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation.
  2. The crime
    crime The crime rate of a certain city is increasing by exactly 7% each year. If there were 600 crimes in the year 1990 and the crime rate remains constant each year, determine the approximate number of crimes in the year 2025.
  3. Tickets
    tombola_4 On Monday, 33 tickets were sold. Every next day, twice as many as the previous day. How many tickets were sold on Friday and how many totally from Monday to Friday?
  4. Progression
    sequence_geo_10 12, 60, -300,1500 need next 2 numbers of pattern
  5. Crystal
    crystal Crystal grows every month 1.9 promile of its mass. For how many months to grow a crystal from weight 360 g to 593 g?
  6. Infinity
    circles-and-squares In a square with side 9 is inscribed circle, in circle is inscribed next square, again circle and so on to infinity. Calculate the sum of area of all these squares.
  7. Recursion squares
    squares_reccurent In the square ABCD is inscribed a square so that its vertices lie at the centers of the sides of the square ABCD.The procedure of inscribing square is repeated this way. Side length of square ABCD is a = 22 cm. Calculate: a) the sum of perimeters of all
  8. Profitable bank deposit 2012
    eurocoins Calculate the value of what money lose creditor with a deposit € 9500 for 4 years if the entire duration are interest 2.6% p.a. and tax on interest is 19% and annual inflation is 3.7% (Calculate what you will lose if you leave money lying idle at negative
  9. Wire
    cu_wire One pull of wire is reduced its diameter by 14%. What will be diameter of wire with diameter 19 mm over 10 pulls?
  10. Compound interest
    exponential_usd Calculate time when deposit in the bank with interest 2.5% p.a. doubles.
  11. Sale
    sale_percent If the product twice price cut by 25%, what percentage was price cut in total?
  12. Wood in the forest
    drevo The amount of wood in the forest was estimated at 7000 m3. How much wood will be in forest after 2 years if the annual growth of wood is 2.2% each year and logging 70 m3 each year?
  13. Geometric progression
    fractal Fill 4 numbers between 4 and -12500 to form geometric progression.
  14. Demographics
    population The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population?
  15. Machine
    machine Price of the new machine is € 62000. Every year is depreciated 15% of residual value. What will be the value of the machine after 3 years?
  16. Geometric mean
    geom_mean Calculate the geometric mean of numbers a=15.2 and b=25.6. Determine the mean by construction where a and b are the length of the lines.
  17. Deposit
    ping_bank If you deposit 959 euros the beginning of each year, how much money we have at 2.1% (compound) interest after 19 years?
  18. Geometric sequence 3
    sequence In geometric sequence is a8 = 312500; a11= 39062500; sn=1953124. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
  19. Series
    posloupnost_an Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
  20. Loan
    loan Apply for a $ 59000 loan, the loan repayment period is 8 years, the interest rate 7%. How much should I pay for every month (or every year if paid yearly). Example is for practise geometric progression and/or periodic payment for an annuity.

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