Question and Answers Forum

All Questions   Topic List

AllQuestion and Answers: Page 1349

Question Number 75327    Answers: 1   Comments: 3

If T_(n + 1) = 1 + (1/2)T_n Find a formular for T_n in terms of n and find the sum of first n terms

$$\mathrm{If}\:\:\:\:\:\mathrm{T}_{\mathrm{n}\:+\:\mathrm{1}} \:\:\:=\:\:\:\mathrm{1}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\mathrm{T}_{\mathrm{n}} \\ $$$$\mathrm{Find}\:\mathrm{a}\:\mathrm{formular}\:\mathrm{for}\:\:\mathrm{T}_{\mathrm{n}} \:\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:\:\mathrm{n} \\ $$$$\mathrm{and}\:\mathrm{find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{first}\:\mathrm{n}\:\mathrm{terms} \\ $$

Question Number 75325    Answers: 1   Comments: 0

Question Number 77131    Answers: 1   Comments: 0

Question Number 75338    Answers: 0   Comments: 3

The wall of mr nelsons bathroom is covered with 1200 square tiles eah of length 24cm. How many square tiles of sides length 24cm would be needed to cover the same wall.

$$\mathrm{The}\:\mathrm{wall}\:\mathrm{of}\:\mathrm{mr}\:\mathrm{nelsons}\:\mathrm{bathroom}\:\mathrm{is} \\ $$$$\mathrm{covered}\:\mathrm{with}\:\mathrm{1200}\:\mathrm{square}\:\mathrm{tiles}\:\mathrm{eah}\:\mathrm{of}\: \\ $$$$\mathrm{length}\:\mathrm{24cm}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{square}\:\mathrm{tiles}\: \\ $$$$\mathrm{of}\:\mathrm{sides}\:\mathrm{length}\:\mathrm{24cm}\:\mathrm{would}\:\mathrm{be}\:\mathrm{needed}\:\mathrm{to}\: \\ $$$$\mathrm{cover}\:\mathrm{the}\:\mathrm{same}\:\mathrm{wall}. \\ $$

Question Number 75321    Answers: 0   Comments: 0

lim_(x→∞) ((𝚷_(k=0) ^n ((n),(k) )))^(1/(n(n+1)))

$$ \\ $$$$\: \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{l}\boldsymbol{\mathrm{im}}}\:\sqrt[{\boldsymbol{{n}}\left(\boldsymbol{{n}}+\mathrm{1}\right)}]{\underset{\boldsymbol{{k}}=\mathrm{0}} {\overset{\boldsymbol{{n}}} {\boldsymbol{\prod}}}\begin{pmatrix}{\boldsymbol{{n}}}\\{\boldsymbol{{k}}}\end{pmatrix}} \\ $$

Question Number 75319    Answers: 0   Comments: 0

Question Number 75318    Answers: 0   Comments: 6

Question Number 75317    Answers: 2   Comments: 1

Find the image of the line ((x−2)/(−1)) = ((y−3)/2) = ((z−4)/3) in the plane 2x+3y−4z +3=0.

$$\mathrm{Find}\:\mathrm{the}\:\mathrm{image}\:\mathrm{of}\:\mathrm{the}\:\mathrm{line}\: \\ $$$$\frac{{x}−\mathrm{2}}{−\mathrm{1}}\:=\:\frac{\mathrm{y}−\mathrm{3}}{\mathrm{2}}\:=\:\frac{\mathrm{z}−\mathrm{4}}{\mathrm{3}}\:\:\:\mathrm{in}\:\mathrm{the}\:\mathrm{plane}\: \\ $$$$\mathrm{2}{x}+\mathrm{3}{y}−\mathrm{4}{z}\:+\mathrm{3}=\mathrm{0}. \\ $$

Question Number 75306    Answers: 0   Comments: 3

Use Venn diagram to represent the set of natural numbers, integers, rational numbers, irrational numbers, real numbers, complex numbers

$${Use}\:{Venn}\:{diagram}\:{to} \\ $$$${represent}\:{the}\:{set}\:{of}\:{natural} \\ $$$${numbers},\:{integers},\:{rational} \\ $$$${numbers},\:{irrational} \\ $$$${numbers},\:{real}\:{numbers}, \\ $$$${complex}\:{numbers} \\ $$

Question Number 75303    Answers: 1   Comments: 0

If cosθ = ((cosα−cosβ)/(1−cosα cosβ)) , prove that one of the value of tan(θ/2) is tan(α/2) . tan(β/2) ??

$$\mathrm{If}\:{cos}\theta\:=\:\frac{{cos}\alpha−\mathrm{cos}\beta}{\mathrm{1}−{cos}\alpha\:{cos}\beta}\:,\:\mathrm{prove}\:\mathrm{that}\:\mathrm{one} \\ $$$$\mathrm{of}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{tan}\frac{\theta}{\mathrm{2}}\:\mathrm{is}\:{tan}\frac{\alpha}{\mathrm{2}}\:.\:{tan}\frac{\beta}{\mathrm{2}}\:?? \\ $$

Question Number 75302    Answers: 1   Comments: 1

If θ is eleminated from the equation x = a cos(θ−α) and y = b cos(θ−β) then prove that (x^2 /a^2 ) + (y^2 /b^2 ) − ((2xy)/(ab)) cos(α−β) = sin^2 (α−β) ?

$$\mathrm{If}\:\theta\:\mathrm{is}\:\mathrm{eleminated}\:\mathrm{from}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}\:=\: \\ $$$${a}\:{cos}\left(\theta−\alpha\right)\:\mathrm{and}\:{y}\:=\:{b}\:{cos}\left(\theta−\beta\right)\:\mathrm{then} \\ $$$$\mathrm{prove}\:\mathrm{that}\:\frac{{x}^{\mathrm{2}} }{{a}^{\mathrm{2}} }\:+\:\frac{{y}^{\mathrm{2}} }{{b}^{\mathrm{2}} }\:−\:\frac{\mathrm{2}{xy}}{{ab}}\:{cos}\left(\alpha−\beta\right)\:=\:{sin}^{\mathrm{2}} \left(\alpha−\beta\right)\:? \\ $$

Question Number 75301    Answers: 0   Comments: 4

Find S_n and S_∞ of the series : (1/(1.2.3.4)) + (1/(2.3.4.5)) + (1/(3.4.5.6)) + . . .

$$\mathrm{Find}\:\mathrm{S}_{\mathrm{n}} \:\mathrm{and}\:\mathrm{S}_{\infty} \:\mathrm{of}\:\mathrm{the}\:\mathrm{series}\::\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}.\mathrm{4}}\:+\:\frac{\mathrm{1}}{\mathrm{2}.\mathrm{3}.\mathrm{4}.\mathrm{5}}\:+\:\frac{\mathrm{1}}{\mathrm{3}.\mathrm{4}.\mathrm{5}.\mathrm{6}}\:+\:.\:.\:. \\ $$

Question Number 75300    Answers: 1   Comments: 0

A line is such that its segment between the lines 5x−y+4 = 0 and 3x+4y−4 = 0 is bisected at the point (1,5). Obtain its equation ?

$$\mathrm{A}\:\mathrm{line}\:\mathrm{is}\:\mathrm{such}\:\mathrm{that}\:\mathrm{its}\:\mathrm{segment}\:\mathrm{between} \\ $$$$\mathrm{the}\:\mathrm{lines}\:\mathrm{5x}−\mathrm{y}+\mathrm{4}\:=\:\mathrm{0}\:\mathrm{and}\:\mathrm{3x}+\mathrm{4y}−\mathrm{4}\:=\:\mathrm{0} \\ $$$$\mathrm{is}\:\mathrm{bisected}\:\mathrm{at}\:\mathrm{the}\:\mathrm{point}\:\left(\mathrm{1},\mathrm{5}\right).\:\mathrm{Obtain}\:\mathrm{its} \\ $$$$\mathrm{equation}\:? \\ $$

Question Number 75299    Answers: 0   Comments: 1

What is the value of this? lim_(x→∞) [ (1/(10^n )) ] a) 0.00...001 b) 0 c) uknown

$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{this}? \\ $$$$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left[\:\frac{\mathrm{1}}{\mathrm{10}^{{n}} }\:\right] \\ $$$$\left.\mathrm{a}\right)\:\mathrm{0}.\mathrm{00}...\mathrm{001} \\ $$$$\left.\mathrm{b}\right)\:\mathrm{0} \\ $$$$\left.\mathrm{c}\right)\:\mathrm{uknown} \\ $$

Question Number 75296    Answers: 1   Comments: 2

Question Number 75291    Answers: 1   Comments: 0

Question Number 75280    Answers: 1   Comments: 0

A car travels at a constant speed and covers 240km in 8hours . How far does it travel at the same speed in 5hours

$$\mathrm{A}\:\mathrm{car}\:\mathrm{travels}\:\mathrm{at}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{speed}\:\mathrm{and}\: \\ $$$$\mathrm{covers}\:\mathrm{240km}\:\mathrm{in}\:\mathrm{8hours}\:.\:\mathrm{How}\:\mathrm{far}\:\mathrm{does} \\ $$$$\mathrm{it}\:\mathrm{travel}\:\mathrm{at}\:\mathrm{the}\:\mathrm{same}\:\mathrm{speed}\:\mathrm{in}\:\mathrm{5hours} \\ $$$$ \\ $$

Question Number 75277    Answers: 1   Comments: 0

The scale of a map is 1:40,000 . Calculate the area in square centimeters on the map of forest reserved which covers 170km^2 . please help solve this question

$$\mathrm{The}\:\mathrm{scale}\:\mathrm{of}\:\mathrm{a}\:\mathrm{map}\:\mathrm{is}\:\mathrm{1}:\mathrm{40},\mathrm{000}\:.\:\mathrm{Calculate} \\ $$$$\mathrm{the}\:\mathrm{area}\:\mathrm{in}\:\mathrm{square}\:\mathrm{centimeters}\:\mathrm{on}\:\mathrm{the} \\ $$$$\mathrm{map}\:\mathrm{of}\:\mathrm{forest}\:\mathrm{reserved}\:\mathrm{which}\:\mathrm{covers}\: \\ $$$$\mathrm{170km}^{\mathrm{2}} . \\ $$$$\mathrm{please}\:\mathrm{help}\:\mathrm{solve}\:\mathrm{this}\:\mathrm{question} \\ $$

Question Number 75276    Answers: 0   Comments: 2

Write the formula of a circle if coordinates of ends of diameter of the circle are given ?

$$\mathrm{Write}\:\mathrm{the}\:\mathrm{formula}\:\mathrm{of}\:\mathrm{a}\:\mathrm{circle}\:\mathrm{if}\:\mathrm{coordinates} \\ $$$$\mathrm{of}\:\mathrm{ends}\:\mathrm{of}\:\mathrm{diameter}\:\mathrm{of}\:\mathrm{the}\:\mathrm{circle}\:\mathrm{are}\:\mathrm{given}\:? \\ $$

Question Number 75272    Answers: 1   Comments: 0

a) If z=1+i(√3) prove that prove that z^(14) =2^(13) (−1+i(√3) ) b)prove that in triangle ABC a^2 −(b−c)^2 cos^2 (A/2)=(b+c)^2 sin^2 (A/2)

$$\left.{a}\right)\:{If}\:{z}=\mathrm{1}+{i}\sqrt{\mathrm{3}}\:{prove}\:{that} \\ $$$${prove}\:{that} \\ $$$${z}^{\mathrm{14}} =\mathrm{2}^{\mathrm{13}} \left(−\mathrm{1}+{i}\sqrt{\mathrm{3}}\:\right) \\ $$$$ \\ $$$$\left.{b}\right){prove}\:{that}\:{in}\:{triangle}\:{ABC} \\ $$$${a}^{\mathrm{2}} −\left({b}−{c}\right)^{\mathrm{2}} \mathrm{cos}\:^{\mathrm{2}} \frac{{A}}{\mathrm{2}}=\left({b}+{c}\right)^{\mathrm{2}} \mathrm{sin}\:^{\mathrm{2}} \frac{{A}}{\mathrm{2}} \\ $$

Question Number 75268    Answers: 0   Comments: 0

Question Number 75267    Answers: 0   Comments: 5

Question Number 75260    Answers: 0   Comments: 0

Question Number 75259    Answers: 0   Comments: 0

Question Number 75255    Answers: 0   Comments: 0

Question Number 75254    Answers: 1   Comments: 0

  Pg 1344      Pg 1345      Pg 1346      Pg 1347      Pg 1348      Pg 1349      Pg 1350      Pg 1351      Pg 1352      Pg 1353   

Terms of Service

Privacy Policy

Contact: info@tinkutara.com