Geometric progression - practice problems
Number of problems found: 249
- 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?
- In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase? - Calculate 82845
Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8. - Robinson 82579
Robinson Crusoe came to the island with 4 grains of corn. How many years did it take him to grow enough grain for bread if he got 10 grains from one grain on average and he needed at least 1kg of bole for 1 bread, and 1 grain weighs about 0.2g? (assume on - Saving problem
We want to save €25,000. We deposit €3,000 annually, and the interest is 4.4% (interest tax is 19%). How many years do we have to save? - Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Triangular 81985
Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine - Calculate 81860
The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa - Difference 81849
Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half. - Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence.
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