Arithmetic progression - practice problems - page 4 of 21
Number of problems found: 413
- Arithmetic sequence indices
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 sequence middle
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. - Sequence sum formula
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 sequence sum
In which arithmetic sequence is S5=S6=60? - Arithmetic sequence terms
Write the first 5 terms of the arithmetic sequence if the first term is a1=7 and the difference d= - 3 - Population annual decrease
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 roof
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 tiles in each row than the previous one. How many tiles do I need for the entire roof? - Triangle arithmetic sides
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. - Addition consecutive numbers
Each of the three additions is 5 more than the previous one. The sum of all is 78. Which numbers are these? - Sequence difference ratio
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 - Sequence term count
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - Book shelf arrangement
Ninety-one books are arranged on seven shelves so that there are 4 more books on each subsequent shelf than on the previous one. How many books are on the 7th shelf? - Three members AP
There are arithmetic sequence x + 3, 2x + 3, 5x - 3. If the common difference is 3, find x. - The sequence
Find the nth term of the progression 2,6,12,20... - GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4 - FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81] - The sum 23
The sum of the first 10 terms of an arithmetic sequence is 530. What is the first term if the last term is 80? What is the common difference? - The third 2
The third term of an arithmetic sequence is -12, and the seventh term is 8. What is the sum of the first 10 terms? - Multiples of eight
Find the sum of the first 25 multiples of 8. - AP - general term
Find the sum of the first 12 terms of the arithmetic sequence whose general term is an=3n+5.
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