Arithmetic progression - practice problems - page 3 of 20
Arithmetic Progression is just a sequence of numbers so that the common difference of any two consecutive numbers is a constant value.Formula for n-th member is:
an=a1+(n−1)⋅d
Sum of n AP members:
sn=n⋅2a1+an
Number of problems found: 394
- Arithmetic sequence
Determine the sum of the first 12 terms of an AP (arithmetic sequence) if a4 is equal to 7 and a8 is equal to minus 1. - Subsequent 82511
The theater has 20 rows of seats on the ground floor. There are 16 seats in the first row, and each subsequent row has two more seats than the previous one. Find the number of seats on the ground floor of the theater. - Spectators 82430 In a circus, in one sector for spectators, the seats are arranged in such a way that in each higher row, there is one more seat than in the previous one. How many seats are there in a sector with 22 rows if there are 8 seats in the first row?
- Increases 81991
What % of bacteria will increase hourly if the number increases from 100,000 to 370,000 in 5 hours?
- Determine 81988
Determine s5 of the geometric sequence if: a1 + a2 = 10 and a4 - a2 = 120 - Triangular 81985 Trainees stand on the marks in rows exactly 1.5 m apart. They form an expanding triangular wedge (in each subsequent row, there is one more exerciser), while the distance between the front exerciser and the back row is 30 m. Determine the number of traine
- Calculate 81860 The two terms of the geometric sequence are a2=12 and a5=three halves. a) calculate the tenth term of the sequence. b) calculate the sum of the first 8 terms of the sequence. v) how many first terms of the sequence need to be added so that the sum is equa
- Difference 81849 Determine four numbers so that the first three form the successive three terms of an arithmetic sequence with difference d=-3 and the last three form the next terms of a geometric sequence with quotient q=one half.
- Difference 81835
Determine the difference d in AP if a1=3 and a1+a2=12
- Arithmetic 81811 In which arithmetic sequence is the sum of the first five terms with odd indices equal to 85 and the sum of the first five terms with even indices equal to 100?
- Arithmetic 81808 An increasing arithmetic sequence has an odd number of terms. The middle term is 302. If we remove the 4 largest terms from the sequence, the middle term will be 296. Determine the difference in the sequence.
- Arithmetic 81798 Two arithmetic sequences have the same first term. The nth term of the first sequence is 15, and of the second sequence, 21. The sum of the first n terms of the first sequence is 63, and of the second sequence, 84. Write the sums of the first n terms of b
- Arithmetic 81795 In which arithmetic sequence is S5=S6=60?
- Difference 81696
Write the first 5 terms of the arithmetic sequence if the first term is a1=7 and the difference d= - 3
- Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage? - Trapezoid 80809
The house's roof is a trapezoid of the same name, with 85 tiles at the ridge and 100 tiles at the bottom. There is always one more bag in each row than the previous one. How many bags do I need for the entire roof? - Arithmetic 80808
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - Additions 80586
Each of the three additions is 5 more than the previous one. The sum of all is 78. Which numbers are these? - Differences 80551 Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
