Geometric progression - examples
- Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
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?
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.
- Recursion squares
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 = 31 cm. Calculate: a) the sum of perimeters of all
- Profitable bank deposit 2012
Calculate the value of what money lose creditor with a deposit € 7700 for 4 years if the entire duration are interest 2.2% p.a. and tax on interest is 19% and annual inflation is 3.6% (Calculate what you will lose if you leave money lying idle at negative
One pull of wire is reduced its diameter by 9%. What will be diameter of wire with diameter 9 mm over 8 pulls?
- Compound interest
Calculate time when deposit in the bank with interest 2% p.a. doubles.
If the product twice price cut by 20%, what percentage was price cut in total?
- 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?
- 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?
The population grew in the city in 10 years from 14000 to 27500. What is the average annual percentage increase of population?
If you deposit 976 euros the beginning of each year, how much money we have at 2.4% (compound) interest after 20 years?
- 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.
- Geometric mean
Calculate the geometric mean of numbers a=23.4 and b=16.8. Determine the mean by construction where a and b are the length of the lines.
Apply for a $ 20000 loan, the loan repayment period is 19 years, the interest rate 2.3%. 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.
Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ?
Calculate what member of the sequence specified by ? has value 643.
- JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment where confessed to pay daily interest 0.15%. How big is a yearly interest? Year has 360 days.
- Future of libraries
You know that thanks to the Internet, electronic communications and developing online resources on the Internet annually declining number of traditional readership by 15%. These deal is irreversible evolutionary shift from old books from libraries to immed