Geometric progression - practice problems - page 2 of 14
Number of problems found: 280
- 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?
- Rent increase
Calculate how much rent should be increased each year to keep pace with annual inflation of 7%. The rent in the first year is €550. Calculate the correct rent for each of the first 5 years so that the real value of the rent remains constant. - GP - free
For a geometric sequence, the following relationship between the first and third terms holds: a₁ − a₃ = −1.5 a₃ − a₁ = 1.5 Calculate the common ratio q and the first term a₁. - Nails
A rider decided to buy a good riding horse, whose price was 10 000 €. The seller told him: "I will give you the horse for free. Pay me only for the nails with which the horseshoes are attached. For the first nail in the horseshoe pay me 1 cent, for the se - Workers 4
Workers in a workshop machined the same parts for three months. Their output increased so that each subsequent month they machined 10% more parts than the previous month. In the last month, they machined 484 parts. How many parts did they machine in the f - Geometric sequence sum Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8.
- Robinson on the island
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 1 kg of bole for 1 bread, and 1 grain weighs about 0.2 g? (assume - Adam had 3
Adam had paper which was so large that several tens of thousands of pieces could be torn from it. First he tore the paper into four pieces. Each of these pieces he took and tore either into four or into ten pieces. In the same way he continued further: ea - 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?
- Bacteria hourly increase What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Geometric sequence sum Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120
- Trainee triangular wedge
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 - Geometric sequence terms 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
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