Question

For a carnival game,container are arranged in triangular display. The top row has 1 container. The second row has 2 containers. The third row had 3 container. The pattern continues until the bottom row, which has 10 containers. How many total containers are there?

Answer 1

Answer:

55 containers.

Step-by-step explanation:

This can be done manually by doing:

1+2+3+4+5+6+7+8+9+10= 55

OR

If you are a higher grade student,

Number of containers in first row = 1

Number of containers in last row = 10

Difference between number of containers in each row/Common difference=1

To find the number of rows:

An = a+(n-1)d

10 = 1 + (n-1) 1

10 = 1 + n - 1

10 = n

To find total number of cups:

Sn= n/2(2a + (n-1)d)

= 10/2 (2•1 + (10-1)1)

= 5 (2 + 9)

= 5 • 11

= 55 containers

Sorry if the second step was not required. Mark as brainliest if you find it useful