Arithmetic progression - practice problems - page 3 of 22
Number of problems found: 423
- At week
At week 3., the turtle was 5.45 centimeters long. At week 12, the turtle was 10.20 centimeters long. From week 12 to week 21, the turtle grew 0.5 centimeters less than it grew from week 3 to week 12. What was the length in centimeters of the turtle at wee - Fibonacci numbers
If the first three Fibonacci numbers are given as x1 = 1, x2 = 1, and x3 = 2, then what is the least value of n for which x(n) > 500? - AP - sum15
Calculate the sum of the first 15 terms of the arithmetic sequence if a₁ = 5 and d = −3. - How many 147
What is the minimum number of consecutive natural numbers from 1 to n that must be added so that their sum exceeds 1,000,000? - Equation - integers
Solve the equation for the unknown x from the set of natural numbers: 1 + 6 + 11 + 16 + … + x = 970 - Rows of chairs
There are 15 chairs in the first row. Each subsequent row has 3 more chairs than the previous row. How many chairs are there in the first 20 rows in total? - 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 - Odd number sum
Determine the sum of all positive odd numbers less than 78 - Geometric sequence sum
Calculate the sum of the first 9 terms of the geometric sequence if a3 equals 2 and a4 equals 8. - Consecutive even sum
The sum of five consecutive even numbers is -10. What are the numbers? - 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 - Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1. - Theater seat rows
The theater has 20 rows of seats on the ground floor. There are 16 seats in the first row, and each subsequent row has two more seats than the previous one. Find the number of seats on the ground floor of the theater. - 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 - Circus sector seats
In a circus, in one sector for spectators, the seats are arranged in such a way that in each higher row, there is one more seat than in the previous one. How many seats are there in a sector with 22 rows if there are 8 seats in the first row? - 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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