Define mean. then determine the mean of the following data set (22,18,38,6,24,18)

Mean is the average number in the data set.

To get the average we first add all the numbers.

After we add all these numbers we then divide by the number of numbers in the data set.

So we do 22+18+38+6+24+18 which is equal to 126 there are six numbers so we divide 126 by 6. This gives us a mean of 21.

ANOTHER EXAMPLE:

Another example of this is the data set (4,65,7,34,5)

We first add all the numbers and get 115 then we divide by 5 and get 23 as the mean.

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week