Geometric progression - practice for 14 year olds
Number of problems found: 43
- Fraction's sequence
What is the next fraction in this sequence? Simplify your answer. 1/59, 2/59, 4/59, 8/59, ... - Calculate 82845
Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8. - Withdrawals 62324
A person deposits 5,000 euros into a bank account at the beginning of each year for 10 years. He does not make any other deposits or withdrawals from the account. Determine the total amount saved at 8% compounded annually when interest is compounded annua - Continuation 46483
Continuation of the number series 9,12,18,27
- Regularly 46301
Mišo will start regular morning exercise on the first of January. Once he gets up, he squats regularly. Every next day he does twice as many squats as the previous day. On which day will he do sixteen times as many squats as he did on the third day? - Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%. - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Beginning 34991
At the beginning of the year, the company had CZK 5,000,000 in its account. He has the money saved at a 16% interest rate. How much was the interest for the first year? How much was the interest for the second year? - Beginning 31671
At the beginning of the year, Mr. Novák borrowed CZK 30,000 for two years with an interest rate of 11.8%. He will repay the debt at once after two years. The bank pays interest once a year, always at the end of the year. How much does Mr. Novák have to re
- The half life
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after three half-lives? - Calculate 22653
In a geometric sequence, the first term is 5, and the quotient is 4. Calculate the 4th, 6th, and 10th members of this sequence. - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Geometric progressiob
If the sum of four consecutive terms of a geometric progression is 80 and the arithmetic mean of the second and fourth terms is 30, then find terms. - Curiosity factor
A blogger starts a new website. Initially, the number of traffic was 293 due to their curiosity factor. The business owner estimated that the traffic would increase by 2,6% per week. What will be the number of it in week 5?
- Seed germination
Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants? - Distribute 7988
Tomas was to distribute 259 cards with pictures of football players among three friends. And each subsequent friend had to get 2x more cards than the previous one. How many cards did the other friend receive? - Progression
-12, 60, -300,1500 need the next 2 numbers of pattern - Deposited 5135
It was 1975, and Petr deposited the entire cash of 10,900.40 Euros in a savings account with 4% interest, credited monthly. He did not add anything to the book, and in exactly 15 years, he withdrew the entire amount in cash. How much did you choose? - Sequence 11
What is the nth term of this sequence 1, 1/2, 1/3, 1/4, 1/5 ...?
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