If `A_k=[[k,k-1],[k-1,k]]`, then `|A_1|+|A_2|+.......+|A_2015|=`

If A_(k)=[[k,k-1k-1,k]], then |A_(1)|+|A_(2)|+.......+|A_(2015)|=

Let A_1, A_2 ,....... A_n be the n points on the straight-line y = px + q. The coordinates of A_k is (x_k, y_k) , where k = 1,2,.... n such that x_1, x_2 , ......, x_n are in arithmetic progression. The coordinates of A_2 is (2, –2) and A_24 is (68, 31). The y-ordinates of A_8 is

Let C_k = .^nC_k, for 0 lt= k lt=n and A_k = ((C_(k-1)^2,0), (0,C_k^2)) for k gt= 1 and A_1+A_2+...+A_n = ((k_1,0), (0,k_2)), then

If (k-1),(2k+1),(6k+3) are in GP then k=?

if U_n = |[1 , k , k] , [2n , k^2+k+1 , k^2+k] , [2n-1 , k^2 , k^2+k+1]| and sum_(k=1->n)U_n=72 then value of k is:

Find k if 2k+1,k,3k+2 are in GP.

If k-1,k+1 and 2k+3 are in AP , then the value of k is

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

Let a_1, a_2, ... , a_(10) be an AP with common difference - 3 and b_1, b_2 , ... , b_(10) be a GP with 10 common ratio 2. Let c_k= a_k + b_k, k = 1, 2, ... , 10 . If c_2 = 12 and c_3= 13 , then sum_(k=1)^(10) ck is equal to _____