# Geometric progression - math word problems

#### Number of problems found: 111

- Present value

A bank loans a family $90,000 at 4.5% annual interest rate to purchase a house. The family agrees to pay the loan off by making monthly payments over a 15 year period. How much should the monthly payment be in order to pay off the debt in 15 years? - Savings

Suppose on your 21st birthday you begin making monthly payments of $500 into an account that pays 8% compounded monthly. If you continue the payments untill your 51st birthday (30 years), How much money will be in your account? How much of it is interest? - Find next member

Find x if the numbers from a GP 7, 49, x. - Terms of GP

What is the 6th term of the GP 9, 81, 729,. .. ? - Sum 1-6

Find the sum of the geometric progression 3, 15, 75,… to six terms. - What is 10

What is the 5th term, if the 8th term is 80 and common ratio r =1/2? - Missing term 2

What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875? - Find the 19

Find the 1st term of the GP ___, -6, 18, -54. - Future value

Suppose you invested $1000 per quarter over a 15 years period. If money earns an anual rate of 6.5% compounded quarterly, how much would be available at the end of the time period? How much is the interest earn? - If the 3

If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r. - Common ratio

If 200 units of a commodity are consumed in a 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? - What are 2

What are the two more terms of the GP a, ax, ax^{2}, ax^{3}, __, __? - Curiosity factor

A blogger starts a new website, initially the number of the traffic is 293 due to their curiosity factor. The business owner estimated that the traffic will increase by 2,6% per week. What will be the number of it in week 5?. - 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)? - 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 3 half-lives? - Five element

The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S_{6}= 63. Find the fifth element a_{5}. - Hiking trip

Rosie went on a hiking trip. The first day she walked 18kilometers. Each day since she walked 90 percent of what she walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Round your final answer to the nearest ki - Savings

The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua - Five harvests

In the seed company, they know that, out of 100 grains of a new variety, they get an average of 2000 grains after harvest. Approximately how many grains do they get out of 100 grains after five harvests? - Radioactive material

A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?

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