[" A.Let "a_(1),a_(2),a_(3),-n-a_(100)" be an "A" ."P" with "],[a=3" and "vec Bp=sum a_(i),1leqslant p leqslant100" .For "],[" any integer "n" ."],[m=5n" .If "(Bm)/(3n)" with "1leqslant n leqslant20" .Let "],[" then "a_(2)" is: "]

Let a_(1), a_(2), a_(3),..., a_(100) be an arithmetic progression with a_(1) = 3 and S_(p) = sum_(i=1)^(p) a_(i), 1 le p le 100 . For any integer n with 1 le n le 20 , let m = 5n . If (S_(m))/(S_(n)) does not depend on n, then a_(2) is equal to ....

Let a_(1),a_(2),a_(3),...,a_(100) be an arithmetic progression with a_(1)=3 and s_(p)=sum_(i=1)^(p)a_(i),1<=p<=100. For any integer n with 1<=n<=20, let m=5n If (S_(m))/(S_(n)) does not depend on n, then a_(2)

Let a_(1),a_(2),a_(3),... be a G.P such that log_(10)(a_(m))=(1)/(n) and log_(10)(a_(n))=(1)/(n) then

If a_(1) , a_(2), a_(3) , cdots ,a_(n) are in A.P. with a_(1) =3, a_(n) =39 and a_(1) +a_(2) + cdots +a_(n) =210 then the value of n is equal to

Show that a_(1),a_(2)"……"a_(n),"……." form an A.P. where a_(n) is defined as below : a_(n)=3+4n

Let a_(1),a_(2)…,a_(n) be a non-negative real numbers such that a_(1)+a_(2)+…+a_(n)=m and let S=sum_(iltj) a_(i)a_(j) , then

Let a_(1),a_(2)…,a_(n) be a non-negative real numbers such that a_(1)+a_(2)+…+a_(n)=m and let S=sum_(iltj) a_(i)a_(j) , then

If a_(1),a_(2),...a_(n) are in H.P then the expression a_(1)a_(2)+a_(2)a_(3)+...+a_(n-1)a_(n) is equal to