In the formula `t_(n)=a(n-1)d`, make n as the subject

In the formula S=(n)/(2)[2a+(n-1)d] , make a as the subject of the formula.

(a) In the formula S_(n)=(n)/(2){2a+(n-1)d} , make d as the subject. (b) Find the value of d, when S_(n)=240,n=10, and a=6 .

In the formulae S_(n)=(n)/(2){2a+(n-1)d} make d as the subject The following steps are involved in solving the above problem. Arrange them in sequential order. (A) (n-1)d=(2S_(n))/(n)-2a (B) Given, S_(n)=(n)/(2)[2a+(n-1)d]rArrn[2a+(n-1)d] = 2S_(n) (C) rArr d=(2)/(n-1)[(S_(n))/(n)-a] (D) 2a+(n-1)d=(2S_(n))/(n)

In the formula t_(n)=(1)/(a+(n-1)d) , how many auxiliary formulae are possible ad what are they?

In the formula k=sqrt((n^(2)-1)/(n^(2)+1)) , make n the subject and find n if k=0.5.