for an increasing `GP , a_1,a_2,........a_n` if `a_6=4a_4, a_9-a_7=192`, then the value of `sum1/a_i`

If for an A.P. a_1,a_2,a_3,........,a_n,........a_1+a_3+a_5=-12 and a_1a_2a_3=8, then the value of a_2+a_4+a_6 equals

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Consider an A.P. a_1, a_2, a_3,......... such that a_3+a_5+a_8=11 and a_4+a_2=-2, then the value of a_1+a_6+a_7 is (a). -8 (b). 5 (c). 7 (d). 9

Consider an A.P. a_1, a_2, a_3,......... such that a_3+a_5+a_8=11 and a_4+a_2=-2, then the value of a_1+a_6+a_7 is (a). -8 (b). 5 (c). 7 (d). 9

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.....

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.....

If a_1, a_2, a_3,54,a_6,a_7, a_8, a_9 are in H.P., and D=|[a_1,a_2,a_3],[5, 4,a_6],[a_7,a_8,a_9]| , then the value of [D]i sw h e r e[dot] represents the greatest integer function

If a_1, a_2, a_3,54,a_6,a_7, a_8, a_9 are in H.P., and D=|[a_1,a_2,a_3],[5, 4,a_6],[a_7,a_8,a_9]| , then the value of [D]i sw h e r e[dot] represents the greatest integer function

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_3,5,4,a_6,a_7,a_8,a_9 are in H.P. , and D=|(a_1,a_2,a_3),(5,4,a_6),(a_7,a_8,a_9)| , then the value of [D] is (where [.] represents the greatest integer function)