In an A.P. if `S_1=T_1+T_2+T_3+.....+T_n` (n is odd)`S_2=T_2+T_4+T_6+.........+T_(n-1)` , then find the value of `S_1//S_2` in terms of `ndot`

In an A.P., prove that : T_(m+n) + T_(m-n) = 2*T_(m)

If the n^(t h) term of an A.P. is (2n+1), find the sum of first n terms of the A.P.

If 2s-3t=3t-s , what is s in terms of t?

If T_0,T_1, T_2, ,T_n represent the terms in the expansion of (x+a)^n , then find the value of (T_0-T_2+T_4-)^2+(T_1-T_3+T_5-)^2n in Ndot

If 3s+5t=10 , and 2s-t=7 , what is the value of (1)/(2^(s))+3t ?

Let {t_(n)} is an A.P If t_(1) = 20 , t_(p) = q , t_(q) = p , find the value of m such that sum of the first m terms of the A.P is zero .

In a harmonic progression t_(1), t_(2), t_(3),……………., it is given that t_(5)=20 and t_(6)=50 . If S_(n) denotes the sum of first n terms of this, then the value of n for which S_(n) is maximum is

Let T_r denote the rth term of a G.P. for r=1,2,3, If for some positive integers ma n d n , we have T_m=1//n^2 and T_n=1//m^2 , then find the value of T_(m+n//2.)

Let T_r denote the rth term of a G.P. for r=1,2,3, If for some positive integers ma n dn , we have T_m=1//n^2 and T_n=1//m^2 , then find the value of T_(m+n//2.)

Suppose a series of n terms given by S_(n)=t_(1)+t_(2)+t_(3)+ . . . . +t_(n) then S_(n-1)=t_(1)+t_(2)+t_(3)+ . . . . +t_(n-1),nge1 subtracting we get S_(n)-S_(n-1)=t_(n),nge2 surther if we put n=1 is the first sum then S_(1)=t_(1) thus w can write t_(n)=S_(n)-S_(n-1),nge2 and t_(1)=S_(1) Q. The sum of n terms of a series is a.2^(n)-b . where a and b are constant then the series is