Geometric progression - examples
- Sum of money
On a certain sum of money, invested at the rate of 10% compounded annually, the difference between the interests of the first year and the third year is 315 . Find the sum.
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?
- 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%?
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?
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.