Mathematics, 16.07.2019 00:30 jaleewoodyard1
Find the sum of the geometric sequence. 1, 1/4, 1/16, 1/64, 1/256 a) 341 b) 1/192 c) 1/768 d) 341/256
Answers: 1
![1,\ \dfrac{1}{4};\ \dfrac{1}{16};\ \dfrac{1}{64};\ \dfrac{1}{256}\ \text{is geometric sequence}\\\\\text{the ratio is:}\ r=\dfrac{\frac{1}{4}}{1}=\dfrac{1}{4}\\\\\text{The sum of the numbers in a geometric sequence is:}\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\a_1=1;\ r=\dfrac{1}{4}\\\\\text{substitute}\\\\S_5=\dfrac{1\cdot\left[1-\left(\dfrac{1}{4}\right)^5\right]}{1-\dfrac{1}{4}}=\dfrac{1-\dfrac{1}{1024}}{\dfrac{3}{4}}=\dfrac{1023}{1024}\cdot\dfrac{4}{3}=\dfrac{341}{256}\to D)](/tpl/images/0094/4185/f1f61.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 15:30, lyndamahe0
Come up with a new linear function that has a slope that falls in the range 10 m − < < . choose two different initial values. for this new linear function, what happens to the function’s values after many iterations? are the function’s values getting close to a particular number in each case?
Answers: 1
Mathematics, 21.06.2019 19:40, love0000
Atextile fiber manufacturer is investigating a new drapery yarn, which the company claims has a mean thread elongation of 12 kilograms with a standard deviation of 0.5 kilograms. the company wishes to test the hypothesis upper h subscript 0 baseline colon mu equals 12 against upper h subscript 1 baseline colon mu less-than 12 using a random sample of n equals 4 specimens. calculate the p-value if the observed statistic is x overbar equals 11.8. round your final answer to five decimal places (e. g. 98.76543).
Answers: 3
You know the right answer?
Find the sum of the geometric sequence. 1, 1/4, 1/16, 1/64, 1/256 a) 341 b) 1/192 c) 1/768 d) 341/25...
Questions in other subjects:
Mathematics, 16.12.2021 07:50
Mathematics, 16.12.2021 07:50
Chemistry, 16.12.2021 07:50
