Geometric progression - math word problems - last page

Number of problems found: 280

JUDr. Usury
Judge JUDr. Usury approved the agreement on guilt and punishment were confessed to paying daily interest 0.15%. How big is a yearly interest? The year has 365 days.
Sum of series
Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+....
Machine
The price of the new machine is € 65000. The 12% of residual value is depreciated every year. What will the value of the machine be after 2 years?
Geometric sequence 3
In geometric sequence is a₄ = 40; a₉= 1280; s_n=2555. Calculate the first item a₁, quotient q, and n - number of members by their sum s_n.
Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates?
Interest
Calculate how much you earn for 8 years 17000 deposit if the interest rate is 1.2% and the interest period is a quarter.
Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares.
Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri
Crystal
The crystal grows every month at 1.2 permille of its mass. How many months does it take to develop from weight 177 g to 384 g?
Wire
Each pass of a wire through a drawing die reduces its diameter by 13%. What will the diameter of a wire be after 6 passes, if it starts with a diameter of 6 mm?
Sequence
Calculate what member of the sequence specified by (5^n-2+15) has value 20.
Number
Is number 2.8814789 irrational?
Wood in the forest
The amount of wood in the forest was estimated at 35000 m³. How much wood will be in the forest after 4 years if the annual growth of wood is 3% each year and logging 700 m³ each year?
Demographics
The population grew in the city in 10 years from 30000 to 34000. What is the average annual percentage increase in population?
Compound interest
Calculate the time it takes for a bank deposit earning 2.6% p.a. interest to double.
Loans, loan ...
Short-term non-bank loans in Slovakia are considered very unfavourable. Borrowers often end up in a debt spiral, taking out increasingly burdensome loans to repay earlier ones. Calculate how many 7-year loans of €1400 at 23% APR a person can repay if thei
Geometric mean
Calculate the geometric mean of 15.2 and 25.6. Also determine the mean by geometric construction, treating 15.2 and 25.6 as lengths of line segments.
Geometric progression 2
There is a geometric sequence with a₁=3.6 and quotient q=-2.1. Calculate a₁₇.
Geometric progression
Fill 3 numbers between 5 and 405 to form a geometric progression.
Profitable bank deposit 2012
Calculate the real value lost by depositing €11200 in a bank for 4 years at an interest rate of 2% p.a., with a 19% tax on interest and an annual inflation rate of 3.7%. (Calculate what you lose by leaving money in a bank account at a negative real intere

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