Let `A_1, A_2........A_7` be a polygon and `a_1........a_7` be the complex numbers representing vertices `A_1,A_2........A_7. if, |a_1|=|a_2|=.............|a_7|=R, then sum_(1 le j le 7) |a_1+a_2|^2`

For the A.P., a_1, a_2,a_3, ............., if a_4/a_7= 2/3 , find a_6/a_8 .

If a_1. a_2 ....... a_n are positive and (n - 1) s = a_1 + a_2 +.....+a_n then prove that (a_1 + a_2 +....+a_n)^n ge (n^2 - n)^n (s - a_1) (s - a_2)........(s - a_n)

a_1 , a_2 , ......a_(10) are in G.P a_7/a_5=25 Find a_(10)/a_8

FOr an integer nlt2, we have real numbers a_1,a_2,a_3,a_4,..........,a_n such that a_2+a_3+a_4+.......+a_n=a1 and a_1+a_3+a_4+...........+a_n=a_2...............a_1+a_2+a_3+..............+a_(n-1)=a_n what is the value of a_1+a_2+a_3+........+a_n?

If A_1 and A_2 be the two .Ms between two numbers 7 and 1/7 then (2A_1-A_2)(2A_2-A_1)=

If (1+x+x^2)^n = a_0+a_1x+a_2x_2 +..............+a_(2n)x^(2n) then the value of a_1+a_4+a_7+.........

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_1, a_2, a_3, ....a_n,......... be in A.P. If a_3 + a_7 + a_11 + a_15 = 72, then the sum of itsfirst 17 terms is equal to :

The number of ways in which candidates A_1,A_2 ,. . . A_(10) can be ranked if A_1 is always above A_2 is

Consider an A. P .a_1,a_2,a_3,..... such that a_3+a_5+a_8 =11and a_4+a_2=-2 then the value of a_1+a_6+a_7 is.....