Geometric progression - practice problems
Number of problems found: 268
- GP - negative term
The first term of a GP is -3 and the square of the second term is equal to its 4th term. Find the 7th term of the GP.
- The sum 53
The sum ofthree numbers of a GP series is 35 and their product is 1000. Find the numbers.
- A person 2
A person has 2 parents, 4 grandparents, 8 great grandparents, and so on. Find the number of his ancestors during the ten generations preceding his own.
- A man 24
A man distributed 25300 EUR among his 3 sons A, B, C in such a way that the amounts of their parts at 10% simple interest in 2 years, 3 years, 4 years will be equal. A's share?
- GP - terms
Which term of the G.P., 2, 8, 32, ... up to n terms is 131072?
- 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.
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