A geometric series is written as
, where
is the first term of the series and
is the common ratio.
In other words, to compute the next term in the series you have to multiply the previous one by
.
Since we know that the first time is 6 (but we don't know the common ratio), the first terms are
.
Let's use the other information, since the last term is
, we know that
, otherwise the terms would be bigger and bigger.
The information about the sum tells us that

We have a formula to compute the sum of the powers of a certain variable, namely

So, the equation becomes

The only integer solution to this expression is
.
If you want to check the result, we have

and the last term is

48 grams= 96% needed
x grams. = 4%
Set up a proportion
48/96 = x/4
96/24=4
48/24=2
x=2= grams in the granola
Add the value of 96% and the value of 4% to get the value of 100%
2+48=50
Final answer: 50 grams
Answer:
D. Obtain a cluster sample by randomly selecting 20 counties and visiting every restaurant within those counties.
Step-by-step explanation:
Since this executive wants to minimize cost and expenses he should use a cluster sample of 20 counties and using the selected counties as a representative of the whole. Cluster sampling is a good and useful way of doing market research. It is more economical than other sampling methods and as the executive cannot get information on the whole population, he would be able to get information from the clusters.
To solve 16x18, you may split it up into a smaller increment you understand. Like 16x2, which equals 32. (18/2 is 9) multiply 32 by 9. you get your answer 288.