Arithmetic progression - math word problems - page 13 of 22
Number of problems found: 423
- Extending the sides
The sides of a square and a rectangle will be simultaneously and repeatedly extended according to the following rules: all sides of the square we extend always by 2 cm, the shorter sides of the rectangle we extend always by 1 cm, and the longer sides alwa - Football card distribution
Thomas 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? - Arithmetic sequence calculation
The arithmetic sequence is given: Sn = 222, n = 12, a1 = 2. Determine d, a12. - Sequence term calculation
Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18 - The sum AP with rule
Find the sum of all natural numbers between 1 and 100, which are divisible by 2 or 5 - Textbook page numbering
A total of 3389 digits were needed to number all the sheets of the mathematics textbook. Assume that in a book, every leaf outside the plates is numbered. How many pages does this textbook have if it is: a) single-volume b) two-volume (with both parts hav - Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle? - Sum of four numbers
The sum of four consecutive natural numbers is 114. Find them. - Extending a rectangle
A rectangle will be repeatedly enlarged such that the side which is at the given moment the shorter we extend by 3 cm and the longer side only by 1 cm. After the third extension, a rectangle with dimensions 11 cm and 12 cm is formed. 1. Determine the dime - Infinite sum of areas
An equilateral triangle A1B1 C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1 C1 is built triangle A2B2 C2, and so on. The procedure is repeated continuously. What is t - Three Consecutive Natural Numbers
Determine the sum of three consecutive natural numbers such that the sum of the first and third numbers is 368. - Cell division
At the end we could have something simpler and a bit (at least mathematically) more fun... At the beginning there was nothing... But no, here we have at the beginning one single cell. This cell is not just any ordinary cell, it is special, because there i - Hexagonal pattern
The figure shows two rows of hexagonal boxes that continue to the right without restriction. Fill in one field with one positive integer so that the product of the numbers in any three adjacent fields is 2018. Determine the number that will be in the top - Needs
Hannah needs 40,000 € to buy an apartment. She can save or pay 300 € each month. The interest rate on deposits is 2%, the monthly deposit is 300 €, the state bonus is 8.5% of the deposit, and the interest rate on the loan is 2.9%. She will be in the savin - Microorganisms
The first generation of microorganisms has a population of 13500 members. Each subsequent generation is 11/10 times the previous one. Find out how many generations will reach at least three times members of the first generation. - AP RT triangle
The length of the sides of a right triangle forms an arithmetic progression, and the longer leg is 24 cm long. What are the perimeter and area? - Tickets
On Monday, the cinema sold 33 tickets. Every next day, twice as many as the previous day. How many tickets were sold on Friday, and how many totals from Monday to Friday? - Progression -12, 60, -300,1500 need the next 2 numbers of pattern
- Toys 3
Tiffany's toyshop received a shipment of 360 toys. On the first day, 12 were sold the second day, 19 were sold; and on the third day, 26 were sold. How many days will the toyshop run out of toys? - Nineteenth member
Find the nineteenth member of the arithmetic sequence: a1=33 d=5 find a19
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