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Q1)Show that there can be infinite number of sets of four distinct real numbers in AP which are such that the square of the last term is equal to the sum of squares of the first three terms. Q2)1000! is divisible by 10n.Find ...
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Q)There are two sets of numbers,each having 3 terms in AP and the sum of each set is 15.The common difference of the first set is greater by 1 than the common difference of the second set and the product of the first set is t ...
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sum the series 1+ 1/2 + 1/3 + 1/4.......... i used integration ....but that doesn't help as log {0} doesn't exist .....please help.....please give an explanation with your answer ...
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if a,b,c are in ap then bc-a2,ca-b2,ab-c2 are in a.ap b.gp c.hp d.none plz show ur solution also give some general guidelines for solving such probs..............as i face trouble sometimes with them! ...
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got a good one after quite some days A man always drives at the same speed at all times. He makes it from A direct to C in 30 minutes; from A through B to C in 35 minutes; and from A through D to C in 40 minutes. Distance fro ...
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sum the series 1+ 1/2 + 1/3 + 1/4.......... i used integration ....but that doesn't help as log {0} doesn't exist .....please help.....please give an explanation with your answer ...
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a sum of rs/-1728 is distributed equally among some persons & each got 4/3times as many rs/- as dere r persons find d no. of persons ...
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Q) If the nth term of a certain series,whose first three terms are 2,1 and -3 is of the form a+bn+c.2n ,where a,b,c are constants,then show that a,c,b are in AP.Also find the sum of first 'n' terms of the series ...
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i'm very weak at algebra. So can anyone plz say me if (x+1/x)=4 then (x-1/x)=? nd why?? ...
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If α and β are the zeroes of the quadratic polynomial f(x)=ax2+bx+c, then evaluate: a(α2/β+β2/α)+b(α/β+β3/α) I think there is some mistake in the problem. If yes, then pls tell me. Otherwise pls solve the problem fo ...
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Easy one I guess, but i want to see the method. The odd numbers are arranged as shown below: (1) (3,5) (7,9,11) (13,15,17,19)... Find the sum of terms in the nth bracket as a function of n. ...
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The first violet leaflet that you sent on maths has several errors.The answer to question no.1 under 'DIVISIBILITY' is given 'a' and 'b'.It should actually be 'b' and 'e'.Then in question no.9 under 'DIVISIBILITY' the answer ...
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we have functions from {1,2,3..n} to {1,2,3..n}, find the probability that the function is, 1)increasing 2)Non decreasing juniors try it out, seniors, im not sure, but i think this one has already been discussed (i think so), ...
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prove that 72!/36!-1 is divisible by 73. ...
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An artillery target may be either at point I with probability 8/9 at point II with probability 1/9 .We have 21 shells,each of which can be fired either at point I or at point II .Each shell may hit the target,independently of ...
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This is a problem which for some strange reason is going unanswered in another forum(there's one guy who has promised to come back with a solution though): If a,b,c≠±1, and a+b+c = abc, prove that we also have A+B+C = ABC ...
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A coin is tossed m+n times .Find the probability of getting atleast m consecutive heads. ...
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Given six real numbers a,b c,x y,z , , such that 0<b-c<a<b+c and ax+by+cz=0. What is the sign of the sum ayz+bzx+cxy ? o promise u if u really try this question sincerely , you are bound to learn a new concept ...
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An effervescent tablet is dropped in water. Determine its size as a function of time. source:ORTVAY RUDOLF PROBLEM SOLVING COMPETITION IN PHYSICS 1997 ...
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On a bookcase there are n ≥ 3 books side by side by different authors. A librarian considers the first and second book from left and exchanges them iff they are not alphabetically sorted. Then he is doing the same operation ...
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\frac{4y^{2}}{4y^{2}+1}=z \frac{4z^{2}}{4z^{2}+1}=x \frac{4x^{2}}{4x^{2}+1}=y ...
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Prove that 2x+3y and 9x+5y are divisible by 17 for the same set of integers x,y (A bit easy, so plz give newcomers some time to have a go) ...
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A seven digit no is in the form of abcdefg (g,f,e...etc are digits unit,tens,hundreds place...etc) where a<b<c<d and d>e>f>g.The number of such numbers is _____ ...
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If ni is a positive integer and a1,a2....am belongs to C. then (a1+a2+.......+an)n= \Sigma n! a_{1}^{n_{1}}a_{2}^{n_{2}}....a_{m}^{n_{m}}/(n_{1}!.n_{2}!...n_{m}!) . pls give the combinatorial as well as mathematical proof for ...
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Express in trigonometric form: i 2 /(4+4i) solution: I did rationalization. (i 2 /4+4i)+(4-4i/4-4i) I got 1/16-i 2 /16 Now how to write in trig. form. Is this correct? ...
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Find the coeff of a3b4c5 in the expansion of (bc+ac+ab)6. ...
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1/(14+4) + 2/(24+4) + 3/(34+4)...........................100/(1004+4) or till n terms ...
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Find three-digit numbers that are divisible by 5 as well as 9 and whose consecutive digits are in AP. Pls tell which will be the best way to proceed..no need to post the solution. ...
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If a,b,c,d are in HP,then ab+cd+bc = A. 3ad B.(a+b)(c+d) C. 3ac D. none of these. ...
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If 1 + a + a2 + a3..... an =(1+a)(1+a2)(1+a4) then n is equal to ____ ?? ...