Geometric progression - practice problems - page 7 of 14
Number of problems found: 280
- Company interest
At the beginning of the year, the company had CZK 5,000,000 in its account. He has the money saved at a 16% interest rate. How much was the interest for the first year? How much was the interest for the second year? - Retirement annuity How much will it cost to purchase a two-tier retirement annuity that pays $2,000 at the end of every month for the first 10 years and $3,000 per month for the next 15 years? Assume a rate of return to the recipient of 7.6% compounded quarterly.
- Sum 1-6
Find the sum of the geometric progression 3, 15, 75,… to six terms. - Sum of GP members
Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)? - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - Terms of GP
What is the 6th term of the GP 9, 81, 729,. ..? - GP - first term
Find the 1st term of the GP: ___, -6, 18, -54. - What are 2
What are the two more terms of the GP (geometric progression) a, ax, ax², ax³, __, __? - Find next member
Find x if the numbers from a GP are 7, 49, and x. - Missing term 2 What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
- Geometric progression If the 6th term of a GP is four and the 10th is 4/81, find common ratio r.
- Common ratio
If 200 units of a commodity are consumed in the first year, and if the annual rate of increase in consumption is 5% (a) what amount is consumed in the 8th year; (b) in the first 15 years? - Interest 2 At the beginning of the year, Ms Mařasová obtained a loan from the bank of 75,000 CZK for three years at an interest rate of 12.5%. She will repay the loan and interest in one lump sum after three years. The bank compounds interest twice a year, always at
- Fly and cyclist
Two cyclists are 20 km apart on the same line. They start at the same time as each other at a speed of 10 km/hr. A fly sitting on one of the cyclist's handles starts flying toward the other cyclists at a speed of 20 km/hr. It touches the handle and moves - Loan repayment calculation
At the beginning of the year, Mr. Smith borrowed CZK 30,000 for two years with an interest rate of 11.8%. He will repay the debt at once after two years. The bank pays interest once a year, always at the end of the year. How much does Mr. Smith have to re - Exponential decay
A tank contains 55 liters of water. Water is flowing out at the rate of 7% per minute. How long does it take to drain the tank? - Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t - The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Half of halves
We cut half of the square off, then half of the rest, etc. Five cuts we made in this way. What part of the area of the original square is the area of the cut part? - Bank deposit interest
Entrepreneur Zahourek deposited 450,000 into the bank's account with 4.5% annual interest. Calculate the amount on the deposit account after three years.
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