You are Miguel Cervantes de Navas y Colon, captain in the Royal Spanish Army in Sevilla in the year 1842. Outside your barracks window is a stack of
cannonballs, as shown in the illustration. On an idle afternoon you decide to
calculate the number of cannonballs in the stack. What is the number of
cannonballs?

The total number of cannonballs in the stack is 385 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the total number of cannonballs:

Step 1 - The first layer of the stack of  cannonballs there are a total of 1 cannonball.

Step 2 - The second layer of the stack of  cannonballs there are a total of 4 cannonballs.

Step 3 - The third layer of the stack of  cannonballs there are a total of 9 cannonballs.

Step 4 - In the last layer that is, the 10th layer of the stack of  cannonballs there are a total of 100 cannonballs.

Step 5 - So, the generalized formula to count the total number of cannonballs in the stack is given below:

where 'n' is the total number of layers.

Step 6 - Now, substitute the value of 'n' in the above formula.

Total number of Cannonballs = 385

Therefore, the correct option is B).

For more information, refer to the link given below:

link

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step-by-step explanation:

step-by-step :