Arithmetic progression + expression of a variable from the formula - practice problems - page 3 of 6
Number of problems found: 117
- 8 wooden
Eight wooden poles are used for pillars, and the length of the pillars is from an arithmetic progression. If the second pole is 2 meters and the sixth pole is in order 5 meters, find the difference between the sixth and seventh poles. - Arithmetic progression 2
The 3rd term of an Arithmetic progression is ten more than the first term, while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic progression if the 7th term is seven times the first term. - Arithmetic 40431
Fill the numbers in the place of the asterisk to form an arithmetic sequence. (2, *, 5, *, 8, 9.5,11) - Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, the second 4, and keep the third, we get the geometric series. Find AP and GP members.
- Population 37561
The population increased from 29,000 to 31,500 in 5 years. Calculate the average annual population growth in%. - Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what the average annual population growth in% was. - Common difference
The 4th term of an arithmetic progression is 6. Find the common difference if the sum of the 8th and 9th terms is -72. - Annual increase
The number of cars produced increased from 45,000 to 47,000 in 3 years. Calculate the average annual increase in cars in%. - Decreasing 36183
Prove that the sequence {3 - 4. n} from n = 1 to ∞ is decreasing.
- Harmonic mean
If x, y, and z form a harmonic progression, y is the harmonic mean of x and z. Find the harmonic mean of the numbers 6 and 5. - Harmonic series
Insert four members between 5/3 and 5/11 to form harmonic series (means). - Insert 7
Insert five harmonic means between 3 and 18 - HP - harmonic progression 2
Compute the 16th term of the HP if the 6th and 11th terms of the harmonic progression are 10 and 18, respectively. - HP - harmonic progression
Determine the 8th term of the harmonic progression 2, 4/3, 1,…
- Angles of a hexagon
Find the interior angles of a hexagon if the sizes of the angles form an arithmetic sequence, and the smallest angle is 70°. - What is 10
What is the 5th term if the 8th term is 80 and the common ratio r =1/2? - Geometric progression
If the 6th term of a GP is four and the 10th is 4/81, find common ratio r. - Insert 3
Insert five arithmetic progression members between -7 and 3/2. - A ladder
The ladder's bottom rung is 36 inches long, and the topmost rung is 24 inches long. If the ladder has 18 rungs, how many inches each other rung is shorter than the rung below it? How many feet of wood were used to make the rungs?
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