Geometric progression + exponentiation - practice problems
Number of problems found: 71
- Doubling every day
If you start with 1 euro on day 1 and double your money daily, how many days before you get at least 1 million?
- A pattern
If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear?
- A man 12
A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them
- Fraction's sequence
What is the next fraction in this sequence? Simplify your answer. 1/59, 2/59, 4/59, 8/59, ...
- Geometric series
How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity?
- In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
- Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage?
- GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4
- FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- Deposit for house
The current house price is $300000, with prices increasing by 3% yearly. A buyer wishes to purchase the house in 5 years. The bank requires a 10%deposit on the price of the house in order to grant a loan. How much would the buyer need to deposit each quar
- Mr. Cruz
Mr. Cruz borrowed 21,600 euros for three years at 16 2⁄3% compounded annually. At the same time, Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same interest rate. Who Pays more and how much?
- MP3 player
Mary plans to buy a new MP3 player for 90 USD. And every month, the amount he saved in the previous month doubles. If she saves 3 USD in the first month, how many months will Mary save enough to buy an MP3 player?
- Interest compounded annually
If you deposit $4500 at 5% annual interest compounded annually, how much money will be in the account after ten years?
- Dream home
You finally found your dream home. It sells for $120,000 and can be purchased by paying 10% down and financing the balance at an annual rate of 9.6% compounded monthly. a) How much are your payments if you pay monthly for 30 years? b) Determine how much w
- Retirement saving
Deryl wishes to save money to provide for his retirement. Beginning one year from now, he will begin depositing the same fixed amount each year for the next 30 years into a retirement savings account. Starting one year after making his last deposit, he wi
- Salary increase 2
Each year, Francesca earns a salary 2 percent higher than her previous year's salary. In her first five years at this job, she earned a total of $187,345. What was Francesca's salary in her 1st year at this job?
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =?
- Seventh term
The first term of a geometric sequence is nine, and the third term is 1296. Find the seventh term.
- Monthly payments 2
Suppose you have selected a new car to purchase for $19,500. If we can finance the car over four years at an annual rate of 6.9% compounded monthly, how much will your monthly payments be?
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