Geometric progression - practice problems - page 9 of 13
Number of problems found: 259
- 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?
- Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1?
- Calculate 5539
Calculate the quotient of the geometric sequence if the sum of the first two terms equals 1.1 and a6 = 10000. A quotient is a natural number.
- Sequence 5535
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93.
- Calculate 5514
Calculate a3 GP if you know that q = 4 and a1 + a2 + a3 = 89.25 and a4 = 272.
- Rate or interest
At what rate percent will Rs.2000 amount to Rs.2315.25 in 3 years at compound interest?
- Geometric seq
Find the third member of geometric progression if a1 + a2 = 36 and a1 + a3 = 90. Calculate its quotient.
- Six terms
Find the first six terms of the sequence a1 = -3, an = 2 * an-1
- Saving 9
An amount of $2000 is invested at an interest of 5% per month. If $200 is added at the beginning of each successive month but no withdrawals are made, give an expression for the value accumulated after n months. After how many months will the accumulated
- Deposited 5135
It was 1975, and Petr deposited the entire cash of 10,900.40 Euros in a savings account with 4% interest, credited monthly. He did not add anything to the book, and in exactly 15 years, he withdrew the entire amount in cash. How much did you choose?
- Sequence 11
What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5 ...?
- Compound interest
Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after three years?
- Cells - guts
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 childs 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?
- 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.
- Population 4485
The population is 22000 people. With an annual increase of 1.4%, there will be 25,000 people. How many years will it be?
- 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 the beam's intensity be after passing through a ten times stronger plate?
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