Geometric progression - practice problems
Number of problems found: 212
- GP - ratio
What is the comon ratio of -8,40,-200,1000,-5000 (geometric sequence)?
- The terms
The terms 1/64, 1/32, 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 number of shoppers the day before. What is the total number of shoppers that visited the mall in the fir
- Deposit for house
The current price of a house is $300000 with prices increasing by 3% each year. A buyer wishes to purchase the house in 5 years time. 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 depos
- Mr. Cruz
Mr. Cruz borrowed 21,600 euros for 3 years at 16 2⁄3% compounded annually. While Mr. Santos borrowed the same Amount at Simple Interest for the same period and at the same rate of interest. 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, 81 are consecutive terms of a geometric progression, find: A. The value of x B. Geometric mean
- Number pattern
What are the next two numbers that occur in this pattern? 0.24, 0.48, 0.96, 1.92, ____, ____
- Principal 67954
For 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%?
If an investor invests $2000 on January 1st every year guarantees him 4% per annum. if the interest is calculated on the 31st December how much will be the account on 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 why I bought it from him, I realized that the set has the incredible property that there are no 3 sticks that c
- 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. How many ways can these books be arranged on a shelf if books of the
- In a GP 72+144
In a GP the sum of the 2nd term and fifth term is 72 and the sum of the 3rd term and 6th term is 144. find the common ratio, find the first term, 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 - per mille are 2.5 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 10 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 final deposit, he w