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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Progression-3
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ramyadiamond (1297)

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 If a,b,c,d are distinct integers in AP such that d=a2 +b2 +c2 then a+b+c+d=?
 
Plzz helpp

-Ramya
    
ramyadiamond (1297)

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experts plzz help

-Ramya
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for_succes (294)

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wat do you mean by
 
d=a2+b2+c2+d2
 
Do you mean "d" in the LHS is the common difference?

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master_purav (1343)

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How can d be equal to a^2+b^2+c^2+d^2???

d<=d^2

Also a, b, c (sqrd) > 0

(coz they r in AP)

Cant understand the question...

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ramyadiamond (1297)

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here,d is not the common difference, as mentioned in the question, a,b,c,d are in AP, its the term in AP, u can consider common dff. as some x. And sorry, made a mistake in the question, it is actually
d= a^2+b^2+c^2 , i'll correct it.

-Ramya
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kiran (948)

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Hi
 
a+b+c+d =  4 /2 ( a+d) = 2(a+d)  Using the formula for  summation of A.p
 
2(a+d) = 2(a+a2+b2+c2)           as its given d = a2+b2+c2
 
Hence a+b+c+d =  2(a+a2+b2+c2)
 
This is just the direct application of properties of A.P.
I dont know in what way the answer is expected ie The sum should be in what terms. So I just tried it in the above way.  Please tell me if I am wrong.
 
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arun.k.iit (7)

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let a=A-3D
    b=A-D
    c=A+D
    d=A+3D

d=a2+b2+c2

assuming like this U can do it

ARUN

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ramyadiamond (1297)

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well, the answer given is 2, newayz, thanks kiran

-Ramya
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