Arithmetic progression + expression of a variable from the formula - practice problems - page 5 of 6
Number of problems found: 117
- Infinite sum of areas
An equilateral triangle A1B1C1 is constructed above the height of the equilateral triangle ABC is constructed as. Above the height of the equilateral triangle A1B1C1 is built triangle A2B2C2, and so on. The procedure is repeated continuously. What is the - 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? - Digits
If x, y and z are three consecutive nonzero digits, zyx-xyz = 198, where zyx and xyz are three-digit numbers created from x, y, and z. - The sum 2
The sum of five consecutive even integers is 150. Find the largest of the five integers. A.28 B.30 C.34 D.54 Show your solution and explain your answer.
- Subsequent 6477
We will put 900 bags in 9 rows so that there are five fewer in each subsequent one. How much is in the first place? - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - Simple sequence
Continue with this series of numbers: 1792,448, 112, _, _ - Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm. - Arithmetic progression
In some arithmetic progression applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d =.
- Tableau pyramid
Your class will invent an original tableau pyramid from photos. What minimum dimensions will it have to have if you want to place 50 9x13 photos there? You want a classic pyramid, i.e., Each next row is one photo-less, but in the last row, two photos (the - Arithmetic 4955
Cans are stored in n-layers above each other according to the arithmetic sequence. There are 37 cans in the tenth layer and a total of 190 cans in all ten layers. How many cans are in the first layer? b) total in all n layers c) express the given sequence - Arithmetic 4495
Insert as many members of the arithmetic sequence between the numbers 8 and 20 that their sum is 196. - Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 - Difference 4086
Find the difference AP if a1 = -1.5 and a2 + a3 = 2.7.
- Enthusiasts 4032
There are 147 students in seven years at the wizarding academy. Enthusiasts for magic are increasing, so since 2006, they have accepted two more students each year than the previous year. How many students do they have in their first year? - Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Twenty-first 3935
Determine the twenty-first term and the difference AP if a1 = 0.12 and a1 + a2 = 0.42. - Difference 3923
Determine the ninth term and the difference AP if a3 = 4.8 and a2 + a3 = 8. - Difference 3908
Determine the fourth term and the difference AP if a1 = 3.2 and a2 + a3 = 7.
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