Write these series with summation notation. 1,4,9,16...

  , where n is a natural number.

Step-by-step explanation:

A series can be represented in a summation or sigma notation.

Greek capital letter, ∑ (sigma), is used to represent the sum.

For example: , where n is a natural number.

The given series : 1,4,9,16 which can be written as .

So , we can write it as

, where n is a natural number.

Complete Question

In a study on the physical activity of young? adults, pediatric researchers measured overall physical activity as the total number of registered movements? (counts) over a period of time and then computed the number of counts per minute? (cpm) for each subject. The study revealed that the overall physical activity of obese young adults has a mean of mu = 322 cpm and a standard deviation of 80 cpm

In a random sample of n=100 what is the probability that the mean overall physical activity level of the sample is between 300 and 310 cpm? P(300310) nothing

The probability is

Step-by-step explanation:

From the question we are told that

   The mean is  

    The standard deviation is

    The sample size is  

Generally the standard error of the mean is mathematically represented as

=>    

=>    

Generally the probability that the mean overall physical activity level of the sample is between 300 and 310 cpm is mathematically represented as

=>  

Generally  

=>  

=>  

Generally the probability of (Z < -2.75) and  ( Z<  -1.5 )

and  

So

=>

=>

=>