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

Let a_1,a_2," ..."a_10 be a G.P. If a_3/a_1=25," then "a_9/a_5 equals

Given a_(1),a_(2),......,a_(12) are in G.P. If a_(4)*a_(9)=2019 then value of (a_(2)a_(11)+a_(3)a_(10)+a_(5)a_(8)+a_(6)a_(7))/(a_(4)a_(9)) is equal to

Let a_(1),a_(2),a_(3),?a_(10) are in G.P.if (a_(3))/(a_(1))=25 then (a_(9))/(a_(5)) is equal to (A)5^(4)(B)4.5^(4)(C)4.5^(3)(D)5^(3)

If a_1, a_2, a_3 ,........ are in A.P. such that a_1 + a_5 + a_10 + a_15 + a_20 + a_24 = 225 , then a_1 + a_2+ a_3 + ......+ a_23 +a_24 is equal to

If a,a_(1),a_(2),...,a_(10),b are in A.P.and a,g_(1),g_(2),...,g_(10),b are in G.P.and h is the H.M.betweein a and b,then (a_(1)+a_(2)+...+a_(10))/(g_(1)g_(10))+(a_(2)+a_(3)+...+a_(9))/(g_(2)g_(9))+......+(a_(5)+a_(6))/(g_(5)g_(6))

Let the sequence a_1 , a_2 , a_3 ......... a_n form an A.P. then a_1^2 - a_2^2 + a_3^2 - a_4^2 +.....+ a_(2n-1)^2 - a_(2n)^2 is equal to:- (1) n/(2n-1)(a_1^2-a_(2n)^2) (2) (2n)/(n-1)(a_(2n)^2-a_1^2) (3) n/(n+1)(a_1^2+a_(2n)^2) (4)none of these

Let the sequence a_1 , a_2 , a_3 ......... a_n form an A.P. then a_1^2 - a_2^2 + a_3^2 - a_4^2 +.....+ a_(2n-1)^2 - a_(2n)^2 is equal to:- (1) n/(2n-1)(a_1^2-a_(2n)^2) (2) (2n)/(n-1)(a_(2n)^2-a_1^2) (3) n/(n+1)(a_1^2+a_(2n)^2) (4)none of these