Answer:
20,176,803
Step-by-step explanation:
This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...
Sn = a1·(r^n -1)/(r -1)
For a1=3, n=9, and r=7, the sum is ...
S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803
The sum of the first 9 terms is 20,176,803.
_____
The first 9 terms are ...
3 +21 +147 +1029 +7203 +
50,421 +352,947 +2,470,629 +17,294,403
Sum of 2 and 8 is (2+8)
Then multiply by 5 will give us answer a. (2+8)x5
Answer:
a. Mean = 155.1 grams
b. Standard deviation = 0.37
c. Fractional uncertainty = 0.074
Step-by-step explanation:
a. Average weight
This is same as the mean weight;
Mathematically, that would be; sum of the weights/ the number of weights
= (155.1 + 154.8 + 155.5 + 155.3 + 154.6)/5 = 775.3/5 = 155.06 which is approximately 155.1
b. Standard deviation
Mathematically; we calculate that using the formula;
√{(x-mean)^2/(N-1)}
Please check attachment for for the complete breakdown of this
c. Fractional uncertainty
= Standard deviation/number of measurements = 0.37/5 = 0.074
If you round, it’ll be 7,0