Let a1,a2,a3 ...... a11 be real numbers satisfying `a_1 =15, 27-2a_2 > 0 and a_k= 2a_(k-1) - a_(k-2)` for `k=3,4,.....11` If `(a1^2 +a2^2.......a11^2)/11 = 90` then find the value of `(a_1+a_2....+a_11)/11`

Le a_(1),a_(2),a_(3),a_(11) be real numbers satisfying a_(1)=15,27-2a_(2)>0 anda_ =2a_(k-1)-a_(k-2) for k=3,4,11. If (a12+a22+...+a112)/(11)=90, then the value of (a1+a2++a11)/(11) is equals to

If a_1+a_2+a_3+......+a_n=1 AA a_1 > 0, i=1,2,3,......,n, then find the maximum value of a_1 a_2 a_3 a_4 a_5......a_n.

If (a_1+a_2+.....+a_(10))/(a_1+a_2+.....a_p)=(100)/p^2 and a_i is in A.P, find value of (a_(11)/a_(10))

If a_i > 0 for i=1,2,…., n and a_1 a_2 … a_(n=1) , then minimum value of (1+a_1) (1+a_2) ….. (1+a_n) is :

Let (1+x^2)^2 (1+x)^n= A_0 +A_1 x+A_2 x^2 + ...... If A_0, A_1, A_2,........ are in A.P. then the value of n is

Let A={a_1,a_2,a_3,.....} and B={b_1,b_2,b_3,.....} are arithmetic sequences such that a_1=b_1!=0, a_2=2b_2 and sum_(i=1)^10 a_i=sum_(i=1)^15 b_j , If (a_2-a_1)/(b_2-b_1)=p/q where p and q are coprime then find the value of (p+q).