How many numbers do we need to insert between the numbers and so that the inserted numbers with the given two numbers are consecutive terms of a geometric sequence? The sum of all numbers inserted must be .
In , choir members sang in the largest gospel choir in Manila. Imagine, the conductor wrote an e-mail on January st to three choir members. Each of them forwarded the e-mail to other three choir members on the next day and so on... On which day would all members receive the e-mail?
In , the population of the Czech Republic increased by to inhabitants. How many inhabitants will there live in the Czech Republic at the end of the year , if the percentage increase is the same every year?
Candles are being lit at a commemoration in the square. Gradually, every seconds, two candles are lit from one already burning candle. It also took seconds to lit the first candle. After minutes, all candles were lit. How many candles were finally burning in the square?
A blouse is on sale and its price was reduced twice, each time by ten percent. The difference between its original and its final price is . What was the blouse original price before the discounts?
Karel made a resolution to go running. On the first day he ran one kilometre. Every day he extended the distance run by a quarter of the distance run on the previous day. How many whole kilometres did he run on the tenth day?