If an A.P. is such that `(a_4)/(a_7)=2/7,` find `(a_6)/(a_8)` .

Let {a_n} bc a G.P. such that a_4/a_6=1/4 and a_2+a_5=216 . Then a_1=

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.....

A sequence a_n , n in N be an A.P. such that a_7 = 9 and a_1 a_2 a_7 is least, then the common difference is:

Let a_1,a_2,a_3,...... be an A.P. such that [a_1+a_2+......+a_p]/[a_1+a_2+a_3+......+a_q]=p^3/q^3 ; p!=q .Then a_6/a_[21] is equal to:

Find a, b such that 7.2, a, b, 3 are in A.P.

Suppose a_1, a_, are real numbers, with a_1!=0. If a_1, a_2,a_3, are in A.P., then (a) A=[(a_1,a_2,a_3),(a_4,a_5,a_6),(a_5,a_6,a_7)] is singular (where i=sqrt(-1)) (b)The system of equations a_1x+a_2y+a_3z=0,a_4x+a_5y+a_6z=0,a_7x+a_8y+a_9=0 has infinite number of solutions. (c) B=[(a_1,i a_2),(ia_2,a_1)] is non-singular (d)none of these

Find the sum of first 16 terms of an A.P. a _(1), a _(2), a_(3)……….. If it is known that a _(1), + a _(4) + a _(7) + a _(10) + a _(13) + a _(16) = 147

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

The 2nd, 31st and last term of an A.P. are 7(3)/(4) , (1)/(2) and -6(1)/(2) respectively. Find the first term and the number of terms.

The 7t h term of an A.P. is 32 and its 13 t h term is 62. Find the A.P.