Geometric progression - examples

  1. Series
    posloupnost_an Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
  2. Number
    sqrt_2 Is number 4.764023 irrational?
  3. Sale
    sale_percent If the product twice price cut by 20%, what percentage was price cut in total?
  4. Geometric progression
    fractal Fill 4 numbers between 5 and 295245 to form geometric progression.
  5. Machine
    machine Price of the new machine is € 56000. Every year is depreciated 16% of residual value. What will be the value of the machine after 5 years?
  6. Geometric progression 2
    exp_x There is geometric sequence with a1=-5.8 and quotient q=-2.2. Calculate a19.
  7. Sequence
    seq Calculate what member of the sequence specified by ? has value 643.
  8. Wire
    cu_wire One pull of wire is reduced its diameter by 9%. What will be diameter of wire with diameter 9 mm over 8 pulls?
  9. Sequence
    mandlebrot Find the common ratio of the sequence -10, -5, -2.5, -1.25, -0.625. Ratio write as decimal number rounded to tenth.
  10. Infinity
    circles-and-squares In a square with side 21 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.
  11. Compound interest
    exponential_usd Calculate time when deposit in the bank with interest 2% p.a. doubles.
  12. The city
    city_1 At the end of 2010 the city had 529000 residents. The population increased by 1.1% each year. What is the population at the end of 2013?
  13. Demographics
    population The population grew in the city in 10 years from 14000 to 27500. What is the average annual percentage increase of population?
  14. Piano
    piano If Suzan practicing 10 minutes at Monday; every other day she wants to practice 2 times as much as the previous day, how many hours and minutes will have to practice on Friday?
  15. The city 2
    kingkong Today lives 273000 citizens in city. How many citizens can we expect in 12 years if their annual increase is 2.5%?
  16. Crystal
    crystal Crystal grows every month 2.9 promile of its mass. For how many months to grow a crystal from weight 310 g to 482 g?
  17. GP - 8 items
    fn Determine the first eight members of a geometric progression if a9=512, q=2
  18. Geometric sequence 3
    sequence In geometric sequence is a6 = 77760; a7= 466560; sn=93310. Calculate the first item a1, quotient q and n - number of members by their sum s_n.
  19. Half life
    Bi Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes.
  20. Wood in the forest
    drevo The amount of wood in the forest was estimated at 24000 m3. How much wood will be in forest after 3 years if the annual growth of wood is 3% each year and logging 360 m3 each year?

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