Arithmetic progression - math word problems - page 17 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
- AP - simple
Find the first nine elements of the sequence if a10 = -1 and d = 4
- Three ints
The sum of three consecutive integers is 2016. What numbers are they?
- AS - sequence
What are the first ten members of the sequence if a11=22, d=2?
- Consecutive numbers
The sum of ten consecutive numbers is 105. Determine these numbers (write first and last).
- Previous 2513
There are candies on ten benches. There are three candies on the first bench. There are two more candies in each one than in the previous one. Find how many candies there are.
- Increased 2472
The price of skis increased twice from May to December, always by 20%. In December, the skis cost 1440 SKK. What was the original price in May?
- Determine 2426
Determine the first nine members of the sequence if a 10 = -8, q = -1.
- Determine 2419
Determine the first seven members of the sequence if a8 = 12, d = 1
- AP - basics
Determine the first member and differentiate the following sequence: a3-a5=24 a4-2a5=61
- Seats
Seats in the sports hall are organized so that each subsequent row has five more seats. The First has ten seats. How many seats are: a) in the eighth row b) in the eighteenth row
- GP - 8 items
Determine the first eight members of a geometric progression if a9=512, q=2
- Arithmetic 2390
Determine the first 5 members of the arithmetic sequence if a6 = -42, d = -7
- Determine 2388
Determine the fifth member of the sequence if a1 = -32, q = 21
- Cans
How many cans must be put in the bottom row if we want 182 cans arranged in 13 rows above so that each subsequent row has always been one in less? How many cans will be in the top row?
- Cinema 4
In the cinema, there are 1656 seats; in the last row, there are 105 seats; in each next row, there are 3 fewer seats. How many are the total rows in the cinema?
- To the cinema
Jane at 8 AM got a message that all 1093 school pupils would go to the cinema. Within 20 min she said it to the three friends. Each of them again for 20 minutes said to the other three. In this way, the message spread further. At what time do all the scho
- Difference AP
Calculate the difference of arithmetic progression if the sum of its first 19 members Sn = 8075 and the first member is a1 = 20
- Cinema
How many seats are in the stands if you know that the first row has 24 seats and the last 50 seats, and each subsequent row has two more seats than the previous row? How many seats are in the stands?
- Miraculous tree
The miraculous tree grows so fast that the first day increases its height by half the total height of the second day by the third, the third day by a quarter, etc. How many times will it increase its height after 6 days?
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