Geometric progression - practice problems - page 4 of 14
Number of problems found: 262
- 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)
- Withdrawals 62324
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 61524
Determine the first term and quotient in the geometric sequence: a4 = -8 / 3; a6 = -32 / 3 - GP sequence Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 5, an = 320, sn = 635, n =? q =?
- Quantities 60183 Determine the remaining quantities in the finite geometric sequence, given: n = 4, an = 12.5, sn = 187.5, a1 = ?, q =?
- Finite geometric sequence Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =? q =?
- Members
A geometric sequence with six members has the sum of all six members equal to 63; the sum of the even members (that has an even index) has a value of 42. Find these members. - 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?
- Specific series
Complete the next three members of the series formed according to a specific rule: 1, √2, 9, 2, 25,. ..,. ..,. .. - Insert Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- Straight-line depreciation
Olsen Inc. Purchased a $580,000 machine to manufacture a specialty tap for electrical equipment. The tap is in high demand, and Olsen can sell all it can manufacture for the next ten years. To encourage capital investments, the government exempts taxes on - Railways 3 Railway Corporation wants to purchase a new machine for $360,000. Management predicts that the machine can produce sales of $220,000 yearly for the next five years. Expenses are expected to include direct materials, direct labor, and factory overhead (exc
- Covid-19 spread
A Street has 13 houses in a row. Some residents in the first house tested positive for Covid-19. The virus spreads in 2 ways: It can spread to the next house or jump directly to the third house. Residents of house two can get infected in only one way, hou
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