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General Forum: Education | ******MATHEMATICS****** | |
| right vikram:)
Posted by: Raj Sekhar At: 30, Oct 2003 6:52:57 PM IST approximately kaadandi....absolutely....
Posted by: Raj Sekhar At: 30, Oct 2003 5:56:33 PM IST In an increasing sequence of four positive integers, the first
three terms form an arithmetic progression (increasing by a constant
amount), and the last three form a geometric progression.The first and the fourth differ by 30. Find the four terms.
Posted by: Raj Sekhar At: 30, Oct 2003 2:55:25 PM IST yeah, right taaraa juvva.
Posted by: MONARCH 007 At: 22, Oct 2003 4:44:06 PM IST 1) The lengths of the sides are whole numbers.
(2) The circumference is the square of a whole number.
(3) The area is a whole number to the power of three.
trcik ante yemi ledu
a^2 + b^2 = 240^2
minimum value of "a" is 1...whole number....
then b = 240 (approximately....offcourse just less than that...)
minimum of (a+b+c) = 1 + 240+ +240 = 481
take it as 480.....it will be greater than 480....
a+b+c is minimum when a = b = 240/2sqrt2 = 170 approx
maximum of a+b+c = 340 + 240 = 580
now a+b+c lies between 480 and 580.......but it should be a perfect square....the only squares between 480 and 580 are 484,529 and 576
just verify those three cases we can get the solution......
a + b thelusu,a^2 + b^2 thelusu,integral values.....kanukkovadam peddakashtam kaadu for a and b...
by solving we get........576 satisfies and the corresponding values for a and b......
Posted by: Raj Sekhar At: 22, Oct 2003 4:42:03 PM IST he he .. evadu kanipedthe emi le.. masthu pani chesthaayi kada..avasaram ayinappudu.
nee daggara edaina trick vunda idi solve cheyataaniki ?
Posted by: MONARCH 007 At: 22, Oct 2003 4:26:22 PM IST abbaa....ee programs yevadu kanipettaadu raa baabu....ok...
Posted by: Raj Sekhar At: 22, Oct 2003 4:25:11 PM IST program raasa !! :D :D
a, b variables.. 0 to 240 , rendu for loops,
a^2 + b^2 = 240^2 ani oka comparision. :))
Posted by: MONARCH 007 At: 22, Oct 2003 4:20:43 PM IST how did u gt those numbers ani........ponle nee ishtam......i mean...yedainaa procedure batti chesaavaa....just guessing type aa ani.....
Posted by: Raj Sekhar At: 22, Oct 2003 4:16:28 PM IST em explain cheyaali indulo ?
Posted by: MONARCH 007 At: 22, Oct 2003 4:13:38 PM IST
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