11i m getting,
m = 4n+1±√8n+92
where n can take any value which is less than m...
there are many such pairs...
but if we take n=9...
we get m=14 and 23..
If (x+y)m has 3 consecutive coefficients in A.P.,then a possible value of m(here mEN) may be equal to:
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3 Answers
11
11take mCn-1,mCn and mCn+1 are the co-effients that are in A.P.
simplify it...
u will get the above result after some bad calculations...
u need to see that m and n can not be a fraction or irrational.
accordingly we have to assign the value of n to get m.
thus (8n+9) should be a perfect square.
take n=2, we get m=7 and take n=9 we get m=14.