# Geometric progression - examples

- Sum of money

On a certain sum of money, invested at the rate of 10% compounded annually, the difference between the interests of the first year and the third year is 315 . Find the sum. - Series

Andrew wrote this series of numbers: 1,3,7,15, .... n. Which number in the series does not belong? ? - Number

Is number 4.764023 irrational? - Sale

If the product twice price cut by 20%, what percentage was price cut in total? - Geometric progression

Fill 4 numbers between 5 and 295245 to form geometric progression. - Machine

Price of the new machine is € 56000. Every year is depreciated 16% of residual value. What will be the value of the machine after 5 years? - Geometric progression 2

There is geometric sequence with a_{1}=-5.8 and quotient q=-2.2. Calculate a_{19}. - Sequence

Calculate what member of the sequence specified by ? has value 643. - Wire

One pull of wire is reduced its diameter by 9%. What will be diameter of wire with diameter 9 mm over 8 pulls? - Sequence

Find the common ratio of the sequence -10, -5, -2.5, -1.25, -0.625. Ratio write as decimal number rounded to tenth. - Infinity

In a square with side 21 is inscribed circle, in circle is inscribed next square, again circle and so on to infinity. Calculate the sum of area of all these squares. - The city

At the end of 2010 the city had 529000 residents. The population increased by 1.1% each year. What is the population at the end of 2013? - Compound interest

Calculate time when deposit in the bank with interest 2% p.a. doubles. - Demographics

The population grew in the city in 10 years from 14000 to 27500. What is the average annual percentage increase of population? - The city 2

Today lives 273000 citizens in city. How many citizens can we expect in 12 years if their annual increase is 2.5%? - Piano

If Suzan practicing 10 minutes at Monday; every other day she wants to practice 2 times as much as the previous day, how many hours and minutes will have to practice on Friday? - Crystal

Crystal grows every month 2.9 promile of its mass. For how many months to grow a crystal from weight 310 g to 482 g? - GP - 8 items

Determine the first eight members of a geometric progression if a_{9}=512, q=2 - Half life

Determine the half life of bismuth, when bismuth weight from the original weight of 32 g was only 2 grams in 242 minutes. - Geometric sequence 3

In geometric sequence is a_{6}= 77760; a_{7}= 466560; s_{n}=93310. Calculate the first item a_{1}, quotient q and n - number of members by their sum s_n.

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