# Geometric progression - examples

- Radioactive material

A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years? - Investment

1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years? - Crystal

Crystal grows every month 2.2 promile of its mass. For how many months to grow a crystal from weight 160 g to 311 g? - Infinity

In a square with side 25 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 = 42 cm. Calculate: a) the sum of perimeters of all - Profitable bank deposit 2012

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 - Wire

One pull of wire is reduced its diameter by 14%. What will be diameter of wire with diameter 19 mm over 10 pulls? - Compound interest

Calculate time when deposit in the bank with interest 2.5% p.a. doubles. - Sale

If the product twice price cut by 25%, what percentage was price cut in total? - Wood in the forest

The amount of wood in the forest was estimated at 7000 m^{3.}How much wood will be in forest after 2 years if the annual growth of wood is 2.2% each year and logging 70 m^{3}each year? - Geometric progression

Fill 4 numbers between 4 and -12500 to form geometric progression. - Demographics

The population grew in the city in 10 years from 42000 to 54500. What is the average annual percentage increase of population? - 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? - Geometric mean

Calculate the geometric mean of numbers a=12.6 and b=26.8. Determine the mean by construction where a and b are the length of the lines. - Deposit

If you deposit 959 euros the beginning of each year, how much money we have at 2.1% (compound) interest after 19 years? - Geometric sequence 3

In geometric sequence is a_{8}= 312500; a_{11}= 39062500; s_{n}=1953124. Calculate the first item a_{1}, quotient q and n - number of members by their sum s_n. - Series

Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ? - 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. - Sequence

Calculate what member of the sequence specified by ? has value 86. - JUDr. Usury

Judge JUDr. Usury approved the agreement on guilt and punishment where confessed to pay daily interest 0.18%. How big is a yearly interest? Year has 360 days.

Do you have interesting mathematical example that you can't solve it? Enter it and we can try to solve it.