# Geometric progression - practice problems

#### Number of problems found: 253

- 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? - 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

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