Geometric progression - examples
Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
Is number 4.764023 irrational?
If the product twice price cut by 20%, what percentage was price cut in total?
- Geometric progression
Fill 4 numbers between 5 and 295245 to form geometric progression.
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?
- Geometric progression 2
There is geometric sequence with a1=-5.8 and quotient q=-2.2. Calculate a19.
Calculate what member of the sequence specified by ? has value 643.
One pull of wire is reduced its diameter by 9%. What will be diameter of wire with diameter 9 mm over 8 pulls?
Find the common ratio of the sequence -10, -5, -2.5, -1.25, -0.625. Ratio write as decimal number rounded to tenth.
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.
- The city
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?
- Compound interest
Calculate time when deposit in the bank with interest 2% p.a. doubles.
The population grew in the city in 10 years from 14000 to 27500. What is the average annual percentage increase of population?
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?
- The city 2
Today lives 273000 citizens in city. How many citizens can we expect in 12 years if their annual increase is 2.5%?
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?
- GP - 8 items
Determine the first eight members of a geometric progression if a9=512, q=2
- Half life
Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes.
- Geometric sequence 3
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.
- Wood in the forest
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?