Arithmetic 4955
Cans are stored in n-layers above each other according to the arithmetic sequence. There are 37 cans in the tenth layer and a total of 190 cans in all ten layers. How many cans are in the first layer?
b) total in all n layers
c) express the given sequence in terms of recurrence relations
b) total in all n layers
c) express the given sequence in terms of recurrence relations
Correct answer:
You need to know the following knowledge to solve this word math problem:
Grade of the word problem:
Related math problems and questions:
- Tubes
Iron tubes in the warehouse are stored in layers so that each tube's top layer fits into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if the top layer has 9 tubes? How many tubes are in the bottom layer of tubes? - GP - sequence
The first three terms of a geometric sequence are as follows 10, 30, 90. Find the next two terms of this sequence. - Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes with a count between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer from the right, and on the thir - The library
Anna stored a total of 126 books in three compartments of the library. There are six more books in the first compartment than in the second. The number of books in the second compartment is the arithmetic average of the number of books in the first and th - 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 - Billiard balls
A layer of ivory billiard balls radius of 6.35 cm is in the form of a square. The balls are arranged so that each ball is tangent to everyone adjacent to it. In the spaces between sets of 4 adjacent balls, other balls rest, equal in size to the original. - 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? - Approximately 81561
The International Express has eight cars. There are from 97 to 105 passengers in each car. Approximately how many passengers will be carried by express train? - Highest 62464
The iron pipes are placed in 10 rows, one above the other so that in the highest upper row, there are 15 pipes, and in each other, there is one tube more. How many pipes are there? - Instructions 4540
Calculate according to the instructions. 42,304,420,123 Step 1: Add all the pairs from the given numbers. There are 6 of them. Step 2: Add all 4 numbers. Step 3: Subtract the results of step 1 from the result in step 2. You will get 6 numbers. What are yo - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in - Tenth member
Calculate the tenth member of the geometric sequence when given: a1=1/2 and q=2 - Raspberries 3034
Find how many raspberries are in the third and tenth basket, if there are three raspberries in the first and eight raspberries more in each. - Subsequent 3056
There are 48 pupils in the third row and 17 more in each subsequent row than in the previous one. Find how many pupils there are in the first and tenth rows. - Water lilies
Water lilies are growing on the pond, and their number is doubling every day. The whole layer is covered in 12 days. How many days will it cover eight layers? - Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Warehouses
In the three warehouses, the company stored a total of 70 tons of grain. The second warehouse was stored 8.5t less and in the third, 3.5 tons more than in the first. How many tons of grain were stored in each warehouse?