Arithmetic progression - math word problems - page 14 of 22

Number of problems found: 423

Infinite Series Equation
Solve the given equation in the set N: 1 - x + x² - x³ + x⁴ - x⁵ +…. + = 1/3
Sum of inner angles
Prove that the sum of all inner angles of any convex n-angle equals (n-2).180 degrees.
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.
Geometric progression 4
There is a number sequence: 8,4,√2,4,2√2 Prove that the sequence is geometric. Find the common ratio and the following three members.
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.
Determination of a sequence
A sequence is given whose first three members are a1= 70, a2=64, a3=58. 1, decide whether it is an arithmetic or a geometric sequence and accordingly determine the value of d or q. 2, determine the value of the fifteenth member of the sequence. 3, determi
Bags in Decreasing Rows
We will put 900 bags in nine rows, with five fewer in each subsequent one. How many are in the first place?
Machine depreciation
The company bought a new machine for CZK 350,000. Due to wear and tear, its price will decrease by 10% annually. The machine can be written off if its price drops below 30% due to wear and tear. Determine how many years the company can depreciate the mach
Basket weaving
Uncle Rudolf weaves baskets, which he then sells in the market. On Monday, he knitted 7 baskets; he worked one more every other day than the previous day. How many times more baskets did he knit by the following Monday dinner, compared to the first day, i
Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217.
Non-bank loan
Mrs. Smetanová took a non-bank loan. The monthly fee is calculated using a basic fee. The basic fee of 60 Kč is each month multiplied by the number of months for which Mrs. Smetanová knows the money borrowed (1st month = 1 × 60 Kč, 2nd month = 2 × 60 Kč,
Three Consecutive Integers Sum
Find three consecutive integers whose sum is -693.
Simple sequence
Continue with this series of numbers: 1792,448, 112, _, _
Radioactive material
A radioactive material loses 10% of its mass each year. What proportion will be left there after n=6 years?
Investment
1000$ is invested at 10% compound interest. What factor is the capital multiplied by each year? How much will be there after n=12 years?
Logical number sequence
The numbers are arranged according to a specific logical order. What number should be in the blank a, b? 3, 7, 15, a, 63, 127, b
Arithmetic sequence calculation
Calculate the value of the first term and the difference in the arithmetic sequence a1 + a7 = 42 a10-a3 = 21
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.
Sequence Third Term Value
Find the value of the third member of the sequence if the sequence is given by: 3^n + 93.
MO Z6 I-3 2017 jars
Jano had 100 identical preserving jars, from which he built triangular pyramids. The highest floor of the pyramid always has one jar, the second floor from the top represents an equilateral triangle, whose side consists of two jars, etc. An example of the

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