Geometric progression - practice problems - page 3 of 13
Number of problems found: 259
- GP - ratio
What is the common ratio of -8,40,-200,1000,-5000 (geometric sequence)?
- The terms
The terms 1/64, 1/32, and 1/16 form a geometric progression (GP). If the sum of the GP is (2³6 – 2-6), find the number of terms.
- Shopping mall
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10 percent more than the day before. What is the total number of shoppers that visited the mall in the first seven days? Round yo
- 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?
- Interest 71474
I will deposit CZK 1,500 into my savings account every month. After ten years, what will be in the account if the interest rate is 4%, the interest period is one month, and the interest tax is 15%?
- An account
Seth has $9,399 in an account. The interest rate is 4 17/20% compounded annually. To the nearest cent, how much will he have in 2 years?
- GP 3 members
Given that 49, X, and 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean
- Number pattern
What are the following two numbers that occur in this pattern? 0.24, 0.48, 0.96, 1.92, ____, ____
- Principal 67954
How long in months will the principal raise 5,000 euros at 5% p.. a. interest 350 euros?
- 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 66024
How much do I have to save per month to save CZK 100,000 in 5 years if the interest rate is 4%, the interest period is one month, and the interest tax is 15%?
- Investment
If an investor invests $2000 on January 1st, every year guarantees him 4% per annum. If the interest is calculated on December 31st, how much will the account be at the end of the 10th year?
- 14 sticks
I was cleaning up my attic recently and found a set of at least 14 sticks which a curious Italian sold me some years ago. Trying hard to figure out why I bought it from him, I realized that the set has the incredible property that there are no three stick
- Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w
- In a GP 72+144
In a GP, the sum of the 2nd and fifth terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, find the first term, and find the sum of the first six terms
- Installment 62884
It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 permille per day. What debt will be incurred at the end of the year?
- 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
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