You a miguel cervantes de navas y colon, captain in the royal spanish army in seville 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.

650 cannonballs

A

Step-by-step explanation:

The stack of Cannonballs is really the sum of squares.

The top layer is 1^2

The second layer is 2^2

The Third layer is 3^2

layer 12 ( the bottom layer) is 12^2

The formula for this is

n*(n + 1)*(2n + 1)/6

n = 12

12(12 + 1)(2*12 + 1)/6

12 * 13 * 25/6

650

The sum of this pyramid is 650 Cannonballs

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

the function makes a strait line horizontally with no x intercept but a y intercept at 9.