ನೈಸರ್ಗಿಕ ಸಂಖ್ಯೆಗಳನ್ನು ಕೆಳಗೆ ನೀಡಲಾದ ರೂಪದಲ್ಲಿ ಜೋಡಿಸಲಾಗಿದೆ 2^(r-1) ಸಂಖ್ಯೆಗಳನ್ನು ಹೊಂದಿರುವ rth ಗುಂಪು...

Find the sum sum_(r =1)^(oo) tan^(-1) ((2(2r -1))/(4 + r^(2) (r^(2) -2r + 1)))

show that r_(2)r_(3) +r_(3) r_(1)+ r _(1) r_(2)=s^(2)

The natural numbers arearranged innthe form given below The rth group containing 2^(r-1) numbers. Prove that sum of the numbers in the nth group is 2^(n-2)[2^(n)+2^(n+1)-1] .

If in the expansion of (x^(4)-(1)/(x^(3)))^(1),x^(-17) occurs in rth term,then r=10 b.r=11c .r=12 d.r=13

The ratio of the rth term and the (r+1)th term in the expansion of (1+x)^(n) is

If the coefficients of rth,(r+1) th,and (r+2) th terms in the expansion of (1+x)^(14) are in A.P.then r is/are a.5 b.11 c.10d.9

If the rth term in the expansion of ((x^(3))/(3)-(2)/(x^(2)))^(10) contains x^(20) .then r=