5

# Use induction to prove 2(1+3+3 2 +3 2 +Â·Â·Â·+3 nâˆ’1 ) = 3 n âˆ’1...

## Question

###### Use induction to prove 2(1+3+3 2 +3 2 +Â·Â·Â·+3 nâˆ’1 ) = 3 n âˆ’1

Use induction to prove 2(1+3+3 2 +3 2 +Â·Â·Â·+3 nâˆ’1 ) = 3 n âˆ’1

#### Similar Solved Questions

##### Obtain Eq (2) from the definition of capacitance given in Eq-(l) How are the voltage and distance related? Does In Part 2, this make sense? Explain. why are the voltages - different with and without the material between the plates? And what remains the same, with or without the material?
Obtain Eq (2) from the definition of capacitance given in Eq-(l) How are the voltage and distance related? Does In Part 2, this make sense? Explain. why are the voltages - different with and without the material between the plates? And what remains the same, with or without the material?...
##### 2ieqHo, HzSOa CCHCH,C -Dnw the structure of the tetrahednl inlcnncdiate INITIALLY FORMED the reiction shoRothiveconsidet stereochctusby-Do not include countcr-ions; â‚¬ &, Na' , I , in your answtT In cuses whcte therc morc then one OnSWer; juxt dnw one00Chum DcodleaUncnunelotKhnond Exnnmicn6o6
2ieq Ho, HzSOa CCH CH,C - Dnw the structure of the tetrahednl inlcnncdiate INITIALLY FORMED the reiction sho Rothive considet stereochctusby- Do not include countcr-ions; â‚¬ &, Na' , I , in your answtT In cuses whcte therc morc then one OnSWer; juxt dnw one 00 Chum Dcodl eaUncnunelot K...
##### PhotogatePhotogateAVAVBmAHorizontal TrackmB
Photogate Photogate A VA VB mA Horizontal Track mB...
##### How many moles of sulfate ions are contained in 0.420 moles of aluminum sulfate? 0.140 moles1.26 moles0.840 moles0.420 moles
How many moles of sulfate ions are contained in 0.420 moles of aluminum sulfate? 0.140 moles 1.26 moles 0.840 moles 0.420 moles...
##### -3 9 -10 C~ ~10 ~10~10X=
-3 9 - 10 C~ ~10 ~10 ~10 X=...
##### If $vec{a}=2 x^{2} hat{i}+4 x hat{j}+hat{k}$ and $vec{b}=7 hat{i}-2 hat{j}+x hat{k}$ areinclined at an obtuse angle and $vec{a}$ is parallelto $vec{c}=hat{i}+20 hat{j}+50 hat{k}$ then(1) $x=frac{1}{10}$(2) $x=1$(3) $x=-frac{1}{10}$(4) no such value of $x$ exist
If $vec{a}=2 x^{2} hat{i}+4 x hat{j}+hat{k}$ and $vec{b}=7 hat{i}-2 hat{j}+x hat{k}$ are inclined at an obtuse angle and $vec{a}$ is parallel to $vec{c}=hat{i}+20 hat{j}+50 hat{k}$ then (1) $x=frac{1}{10}$ (2) $x=1$ (3) $x=-frac{1}{10}$ (4) no such value of $x$ exist...
##### Express the equilibrium constant (Kc) for the following reaction (2Z (g) = 3X (g) + 2Y (g (Li 2.5)[XH[YF Kc = [Z12[X] [Y]? Kc = [ZI?[Z]? [XF[YI?Kc[2]? [XP[YIKc
Express the equilibrium constant (Kc) for the following reaction (2Z (g) = 3X (g) + 2Y (g (Li 2.5) [XH[YF Kc = [Z12 [X] [Y]? Kc = [ZI? [Z]? [XF[YI? Kc [2]? [XP[YI Kc...
##### The next day, Kate had 1 cup of cereal ( $15 \mathrm{~g}$ carbohydrate) with skim milk ( $7 \mathrm{~g}$ carbohydrate), 1 banana $(17 \mathrm{~g}$ carbohydrate), and $1 / 2$ cup of orange juice (12 g carbohydrate) for breakfast. a. Has Kate remained within the limit of 45 to $60 \mathrm{~g}$ of carbohydrate? b. Using the energy value of 4 kcal/g for carbohydrate, calculate the total kilocalories from carbohydrates in Kate's breakfast, rounded to the tens place.
The next day, Kate had 1 cup of cereal ( $15 \mathrm{~g}$ carbohydrate) with skim milk ( $7 \mathrm{~g}$ carbohydrate), 1 banana $(17 \mathrm{~g}$ carbohydrate), and $1 / 2$ cup of orange juice (12 g carbohydrate) for breakfast. a. Has Kate remained within the limit of 45 to $60 \mathrm{~g}$ of carb...
##### Let X be the time taken to assemble a car in a certain plant;Xis a random variable having a normal distribution of 30 hours and a standard deviation of 4 hours.Question:What is the probability that a car can be assembled in a period of time greater than 32 hours?
Let X be the time taken to assemble a car in a certain plant; Xis a random variable having a normal distribution of 30 hours and a standard deviation of 4 hours. Question: What is the probability that a car can be assembled in a period of time greater than 32 hours?...
##### QUESTION 97 conildence_ Suppone that (hthe The mrein of error IS 3 percentage paints with 938 Juo colege siudents Werc SUrvEycd 439 said they hed ? PassPonr college students havlng passports Ia higher Ihan Wmen support !he ciaim Fhaltnm percentage al codege studanLs had psepOrts Daoa the ronfidence Intena Einorcthcbest dns"c cone YJlua tho Interval are less than 419 No the Inicwval (4073 467), joct nolsuanortenccnimsint doeyn00 support the cliim since some values in the Interval Jre less In
qUESTION 97 conildence_ Suppone that (hthe The mrein of error IS 3 percentage paints with 938 Juo colege siudents Werc SUrvEycd 439 said they hed ? PassPonr college students havlng passports Ia higher Ihan Wmen support !he ciaim Fhaltnm percentage al codege studanLs had psepOrts Daoa the ronfidence ...
##### Bonus Question: Verify that the following functions are inverses of each other algebraically:Sr-1 f(r)=- X+5Sr-1 g(*) = x+3
Bonus Question: Verify that the following functions are inverses of each other algebraically: Sr-1 f(r)=- X+5 Sr-1 g(*) = x+3...
##### 6. See also Example 2 in Lecture Slides 13) Let V 4 Rn let A e Rnxn with rank n, and let M = (mij) 4 AT Ae Rnxn Define(~): VxV + R(u,v) + (u,v) #u M.v = EEmijuivj i-1j-1 Point) Show that (u, v) equals the dot product of Au and Av_ 6 Points_ Show that ( . qualifies a8 an inner product for V; i.e., show that it is symmetric; linear in the first argument; and positive definite Comment: for proving what property do you need the assumption rank( A) n?
6. See also Example 2 in Lecture Slides 13) Let V 4 Rn let A e Rnxn with rank n, and let M = (mij) 4 AT Ae Rnxn Define (~): VxV + R (u,v) + (u,v) #u M.v = EEmijuivj i-1j-1 Point) Show that (u, v) equals the dot product of Au and Av_ 6 Points_ Show that ( . qualifies a8 an inner product for V; i.e., ...
##### How is the placement of the joints in the pig hind limbdifferent from the joints of the human lower limb? What are some examples of other animals that have jointplacement similar to a pig? What is the evolutionaryadvantage to being built this way?Is it possible for a human (like you!) to imitate this jointconformation? If so, how?
How is the placement of the joints in the pig hind limb different from the joints of the human lower limb? What are some examples of other animals that have joint placement similar to a pig? What is the evolutionary advantage to being built this way? Is it possible for a human (like you!) to imita...
##### Cherry trees in a certain orchard have heights that are normallydistributed with mean Î¼ = 111 inches andstandard deviation Ïƒ = 15 inches.Use the Cumulative Normal Distribution Table to answerthe following.(a) Find the 26th percentile of the tree heights.(b) Find the 82nd percentile of the tree heights.(c) Find the first quartile of the tree heights.(d) An agricultural scientist wants to study thetallest 1%of the trees to determine whether they have acertain gene that allows them to grow taller
Cherry trees in a certain orchard have heights that are normally distributed with mean Î¼ = 111 inches and standard deviation Ïƒ = 15 inches. Use the Cumulative Normal Distribution Table to answer the following. (a) Find the 26th percentile of the tree heights. (b) Find the 82nd percentile of th...