Equation + arithmetic progression - practice problems - page 5 of 6
Number of problems found: 119
- 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. - Depreciate 6413
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 - Geometric progression
In geometric progression, a1 = 7, q = 5. Find the condition for n to sum first n members is sn≤217. - Consecutive 6174
Find three consecutive integers whose sum is -693.
- 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? - 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. - Difference 5222
Determine the difference and the first term of AP if a3 + a4 = 48, a7 = 80. - Odd numbers
The sum of four consecutive odd numbers is 1048. Find those numbers.
- 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 - Have solution
The sum of four consecutive even numbers is 92. Determine these numbers. - Real estate
The residential house has three entrances numbered by odd numbers arithmetic progression. The sum of the two numbers on the corner entrances is 50. Calculate the highest of these three numbers. - Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
- 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. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Twenty-first 3935
Determine the twenty-first term and the difference AP if a1 = 0.12 and a1 + a2 = 0.42. - Difference 3908
Determine the fourth term and the difference AP if a1 = 3.2 and a2 + a3 = 7. - Determine 3876
Determine the second term and the quotient GP if a3 = 48.6 a1 + a2 = 6
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