For 5 Rows We use the formula: Number of cans = 5(5+1) 5×6=15 2 Thus, for 5 rows, the total number of cans is 15. Final Answer The completed table is as follows: Number of rows 1 2 3 4 5 Number of cans 1 3 6 10 15 If you have any problem let me know in the comment section thank you. Solution Number of rows Number of cans 112336410515 Numbe TTTTT Steps Begin by explaining the problem Problem Explanation We are asked to complete a table that shows the number of cans for 4 and 5 rows, based on the following pattern: For 1 row, there is 1 can. For 2 rows, there are 3 cans. ⚫ For 3 rows, there are 6 cans. This pattern follows the triangular number sequence, where the total number of cans for n rows is the sum of the first n natural numbers. Formula The formula to calculate the total number of cans for ra rows is: n(n+1) Number of cans 2 Where n is the number of rows. Step-by-step Calculation for 4 and 5 rows For 4 Rows We use the formula: Number of cans (4+1)=4x5=1 2 Thus, for 4 rows, the total number of cans is 10.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 38RE: Baling Hay In the first two trips baling hay around a large field, a farmer obtains 123 bales and...
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Question

What recursive and explicit formula can we use in the given sequence in the table?

For 5 Rows
We use the formula:
Number of cans =
5(5+1) 5×6=15
2
Thus, for 5 rows, the total number of cans is 15.
Final Answer
The completed table is as follows:
Number of rows 1 2 3 4 5
Number of cans 1 3 6 10 15
If you have any problem let me know in the comment section thank you.
Solution
Number of rows Number of cans 112336410515
Numbe
TTTTT
Transcribed Image Text:For 5 Rows We use the formula: Number of cans = 5(5+1) 5×6=15 2 Thus, for 5 rows, the total number of cans is 15. Final Answer The completed table is as follows: Number of rows 1 2 3 4 5 Number of cans 1 3 6 10 15 If you have any problem let me know in the comment section thank you. Solution Number of rows Number of cans 112336410515 Numbe TTTTT
Steps
Begin by explaining the problem
Problem Explanation
We are asked to complete a table that shows the number of cans for 4 and 5 rows, based on the following
pattern:
For 1 row, there is 1 can.
For 2 rows, there are 3 cans.
⚫ For 3 rows, there are 6 cans.
This pattern follows the triangular number sequence, where the total number of cans for n rows is the sum
of the first n natural numbers.
Formula
The formula to calculate the total number of cans for ra rows is:
n(n+1)
Number of cans
2
Where n is the number of rows.
Step-by-step Calculation for 4 and 5 rows
For 4 Rows
We use the formula:
Number of cans
(4+1)=4x5=1
2
Thus, for 4 rows, the total number of cans is 10.
Transcribed Image Text:Steps Begin by explaining the problem Problem Explanation We are asked to complete a table that shows the number of cans for 4 and 5 rows, based on the following pattern: For 1 row, there is 1 can. For 2 rows, there are 3 cans. ⚫ For 3 rows, there are 6 cans. This pattern follows the triangular number sequence, where the total number of cans for n rows is the sum of the first n natural numbers. Formula The formula to calculate the total number of cans for ra rows is: n(n+1) Number of cans 2 Where n is the number of rows. Step-by-step Calculation for 4 and 5 rows For 4 Rows We use the formula: Number of cans (4+1)=4x5=1 2 Thus, for 4 rows, the total number of cans is 10.
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