Given `t_(n)=4n-12` find `t_(10)`

t_ (n) = 3-4n, find S_ (20)

The nth term of a geometric progression is given by t_(n)=ar^(n-1) find the value of a, if t_(n)=32,r=4 and n=5 .

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

Show that the sequence t_(n) defined by t_(n)=5n+4 is AP, also find its common difference.

Given that T_(1)=100 N then find T_(2)

A sequence {t_(n)} is given by t_(n)=n^(2)-1,n in N, show that it is not an A.P.

Find the indicated terms in each of the following sequences whose nth nth terms are: t_(n)=(n-1)(2-n)(3+n),t_(20)

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

t_(n)=n^(3)-3, find series