Arithmetic progression + geometric progression - practice problems - page 5 of 8
Number of problems found: 148
- Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants? - Distribute 7988
Tomas was to distribute 259 cards with pictures of football players among three friends. And each subsequent friend had to get 2x more cards than the previous one. How many cards did the other friend receive? - Infinite sum of areas
An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the - Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - Tickets
On Monday, the cinema sold 33 tickets. Every next day, twice as many as the previous day. How many tickets were sold on Friday, and how many totals from Monday to Friday? - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - Equation 6738
Solve the given equation in the set N: 1 - x + x² - x³ + x4 - x5 +…. + = 1/3 - Geometric progression 4
There is number sequence: 8,4√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members. - Depreciate 6413
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - 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? - Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93. - Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest? - Sequence 11
What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5 ...? - Single-celled 4642
Guts (a single-celled organism) under ideal conditions divides into two littles every 27 hours on average. How many would there be in 7 days if all the littles remained alive? - Seamstress' 4608
The seamstress' earnings in the last three months of the year are always 20 percent higher than the previous month. She earned a total of CZK 65,520 between October and December. How much CZK did you make in October? - Probably member
Look at the series 2,6,25,96,285, ? What number should come next? - Intensity 4244
The light beam loses 1/12 of its intensity as it passes through the glass plate. What will be the beam's intensity after passing through a ten times stronger plate? - Determine 4113
Determine the sum of an infinite series: 1/3 + 1/9 + 1/27 + 1/81 ...
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