Geometric progression - practice problems
Number of problems found: 259
- The value
The value of the property decreases every year at the rate of 5%. If its present value is 411540 USD, what was its value three years ago? - Doubling every day
If you start with 1 euro on day 1 and double your money daily, how many days before you get at least 1 million? - A town 3
A town with 12,000 people has been growing at a rate of 2.5% per year. How many years ago was the population 8,000? - Binary series The 4th term of a G.P. is 16 and the 7th term is 128 . Find the first term and common ratio of the series.
- Descent GP Determine the 18th term of the GP whose 5th term is 1 and common ratio is 2/3.
- Three Numbers GP The sum of three Numbers in geometric progression (GP) is 38, and their product is 1728. Find the Numbers.
- The sum 47 The sum of 3 numbers in an arithmetic progression (AP) is 15. If 1,4,19 are to be added to the above numbers respectively, it formed a geometric progression (GP). Find the numbers.
- Series - double GP In the following series, which number will replace the question mark? 4, 32, 16, 128, 64,?
- The 5th The 5th, 8th and 11th terms of a GP are a, b, c respectively. Show that a, b, c are in GP.
- An apple 2
An apple tree was planted two years ago. It increases at the rate of 20% every year .If at present, the height of the tree is 540 cm, what was it when the tree was planted? - A pattern If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear?
- A population
A population of fish starts at 8,000 and decreases by 6% per year. Use an exponential function to find the population of fish in 10 years. - Geometric progression For the following geometric progression, find the seventh (7th) term: 4, 12, 36, 108, .
- Joy deposited
Joy deposited the sum of 50,000 in her bank account. After 5 months, she made another deposit of 125,000 and 6 months a lap before the withdrawal of 12,000 nairas. If the interest rate is 5% per annual, calculate how much she should have in her account.
- A man 12
A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them - Flower series
Every day, the flower develops two new flowers, and each of these new blossoms also bears two flowers each day. After eight days, how many blooms are already present in the garden? - The 8th The 8th term of GP is greater than the 5th term, and the 10th term is 10 times the 2nd term find: 1) the common ratio 2) 20th term
- Fraction's sequence What is the next fraction in this sequence? Simplify your answer. 1/59, 2/59, 4/59, 8/59, ...
- Geometric series How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity?
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