Aclerk in the sports department of a store is stacking tennis balls in the shape of a square pyramid. the top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on, as shown below.

which of the following represents the number of balls in the first 8 layers of the pyramid?
a. a series that is arithmetic
b. a series that is geometric
c. a series that is neither arithmetic nor geometric
d. a series cannot be used to represent this situation.

It is a series that is neither arithmetic nor geometric

Step-by-step explanation:

We are given that The top layer has 1 ball, the second layer has 4 balls, the third layer has 9 balls, and so on,

The pattern is

n^2 is the pattern where n is the position in the series.

For arithmetic series Common difference:

So,  

Thus it is not an arithmetic series .

For Geometric series there must be an common ratio :

So,

Thus it is not geometric series.

Thus Option C is correct.

It is a series that is neither arithmetic nor geometric

dd

step-by-step explanation:

dd

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: