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Ask experts Expert Question: Find the 20th term of the A.P. ?2, 3?2 ,5?2 ,7?2.
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Salonii Sharma (470)

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Find the 20th term of the A.P. √2, 3√2 ,5√2 ,7√2.
    
C!-!!NMAY (3070)

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use formula Tn=a+(n-1)dput a=root2,n=20 and d=2root2....
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tarunteja (2)

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 the answer is 39root2 i guess...!!

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Salonii Sharma (470)

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Yess!! But how did you get it?? I get so freaked out with "√"s!!
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HIMANSHU JAIN (376)

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see, just think it as if you have taken root(2) as common,

now, you have just a simple seq, : 1,3,5,7...

as root(2) is appearing in each term so, it'll be with 20th term also.

t(20) = 39..

so, you get your ans.

 


Himanshu Jain
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Salonii Sharma (470)

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Wow yaar! Thanks a ton dude!!That really makes sense. So like, whenever we got these stupid common under roots, then we solve like this only?? Do reply please. I am the new kid on the block. :(
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HIMANSHU JAIN (376)

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yes, ofcourse.

Try to analyze the problem.

taking common always reduces your effort. :-)


Himanshu Jain
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edison (8935)

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 Common Difference, d = 2 √2

Now first term = √2

Thus 20th term = First term + 19 * d

or 20th term = √2 + 19 * √2 = 39  √2


A paradox is an argument that starts with apparently acceptable assumptions and leads by apparently valid deductions to an apparent contradiction. Since logic admits no contradictions, either the apparently acceptable assumptions are not acceptable, or the apparently valid
deductions are not valid, or the apparent contradiction is not a contradiction. A paradox moves us to reexamine the argument until we find out what is wrong.
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