Geometric progression - practice problems - page 4 of 14
Number of problems found: 280
- 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 interest months
How many months will it take for a principal of 5,000 euros to earn 350 euros in interest at 5% p.a.? - 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? - Monthly savings interest
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 deposits $2,000 on 1 January every year and the account guarantees 4% per annum, with interest calculated on 31 December each year, how much will be in the account 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 geometric progression, the sum of the 2nd and 5th terms is 72, and the sum of the 3rd and 6th terms is 144. Find the common ratio, the first term, and the sum of the first six terms. - Installment late fee It is to be paid annually 12x 1935 CZK. The third installment is not paid - it is 2.5 per mille 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 - 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? - Deposit and saving How long will the deposit of € 2,000 increase at an interest rate of 4.6% p. a. at 2500 €? (Ideally, calculate without logarithms)
- Annual deposit savings
A person deposits 5,000 euros into a bank account at the beginning of each year for 10 years. He does not make any other deposits or withdrawals from the account. Determine the total amount saved at 8% compounded annually when interest is compounded annua - The sum 21
The sum of a geometric progression's 2nd and 3rd terms is six times the 4th term. Find the two possible values of the common ratio B. If the second term is eight, the common ratio is positive. Find the first six terms. - Geometric sequence terms Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3
- Village bought
A village bought in the initial year for winter maintenance needs a tractor at a purchase price of 70 000 €. Its value decreases exponentially and after two years has a value of 49 000 €. The maintenance costs grow exponentially, in the first year they ar - GP sequence Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =?
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