Expression of a variable from the formula + arithmetic progression - practice problems
Number of problems found: 56
- The sum 20
The sum of the first 6 terms of an arithmetic progression is 552 and the sum of the first 2 terms of the same is 200. Determine the sum of the first 15 terms.
- AP members
Insert as many arithmetic sequence members between numbers 1 and 53 that the sum is 702.
- Finite geometric sequence
Find the remaining unknown characteristics in the finite geometric sequence, if given: a1 = 18, an = 13122, sn = 19674, n =?, q =?
- Seventh term
The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term.
Insert five numbers between 8 and 27 such numbers that, with two given ones, they form the first seven members of the geometric sequence.
- 8 wooden
8 wooden poles are used for pillers and length of the pillers are from an arithemetric progression if the second pole is 2 metre and the sixth pole in order 5 meters, find the different between the sixth pole and seventh pole.
- 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.
- Sequences AP + GP
The three numbers that make up the arithmetic sequence have the sum of 30. If we subtract from the first 5, from the second 4 and keep the third, we get the geometric sequence. Find AP and GP members.
- Annual growth
The population has grown from 25,000 to 33,600 in 10 years. Calculate what was the average annual population growth in%?
- Common difference
The 4th term of an arithmetic progression is 6. If the sum of the 8th and 9th terms is -72, find the common difference.
- 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%.
- Harmonic mean
If x, y, z form a harmonic progression, then 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 term 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 common ratio r =1/2?
- If the 3
If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r.
- Insert 3
Insert five arithmetic progression members between -7 and 3/2.
Expression of a variable from the formula - practice problems. Arithmetic progression - practice problems.