Share Sequences and Series
Save to Folder
A geometric series starts with 100 and has a common ratio of 1/3. Calculate the sum to infinity of this series.
150
A population of bacteria doubles every hour, starting from 100 bacteria. However, due to limited resources, the population decreases by 10% every hour after the fifth hour. How many bacteria are present at the end of the tenth hour?
approximately 1890
The sum of the first 4 terms of a geometric series is 60, and the common ratio is 2. What is the first term?
4
A ball is dropped from a height of 10 meters and bounces back to 70% of its previous height each time. What is the total distance the ball travels before coming to rest?
approximately 56.67
Find the sum of the first 6 terms of the arithmetic series: 5, 9, 13, 17, ...
90
A bacteria culture starts with 100 bacteria and triples every hour. How many bacteria will there be after 4 hours?
8100
Find the 6th term of the geometric sequence: 4, 12, 36, 108, ...
972
Solve for n in the arithmetic sequence: Given a_1= 5, d = 3 and a_n = 35
11
A theater has 25 rows of seats. The first row has 10 seats, and each subsequent row has 2 more seats than the previous one. How many seats are there in total?
700
Find the 10th term of the arithmetic sequence: 3, 7, 11, 15, ...
39
A car depreciates by 10% of its value each year. If it is purchased for $20,000, what will its value be after 5 years?
Approximately $11809.8
A theater has 20 rows, with each row having 5 more seats than the previous one. If the first row has 10 seats, how many seats are there in total?
1100
If a population of bacteria doubles every hour, starting with 10 bacteria, how many bacteria will there be after 4 hours?
160
The bottom layer of a wall has 50 bricks. Each subsequent layer has 3 fewer bricks than the layer below it. How many bricks will be in the 15th layer?
8
A new app gains 100 users in its first year. The number of users doubles each year thereafter. How many users will the app have after 6 years?
3200
A small town's population is growing exponentially. In 2020, the population was 10,000. Each year, the population increases by 2%. What will be the population in 2025?
approximately 11040
