What is the sum of a 6-term geometric series if the first term is 24 and the last term is 1,417,176?

First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
1417176 = 24 r^(6-1)
59049= r^5
r = 9

We can find the sum by the expression:

 S(n) = a(1) ( 1 - r^n) / 1-r

where a(1) is the first term, r is the ratio and n is the number of terms.

S(9) = 24 (1 - 9^6) / 1-9
S(9) = 1594320

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: