Home
Class 12
MATHS
" if " a(a) ,a(2), a(3)….." are in A.P, ...

`" if " a_(a) ,a_(2), a_(3)….." are in A.P, then find the value of the following determinant:"`
`|{:(a_(p)+a_(p+m) +a_(p+2m),,2a_(p)+3a_(p+m)+4a_(p+2m),,4a_(p)+9a_(p+m)+16a_(p+2m)),(a_(p)+a_(q+m)+a_(q+2m),,2a_(q)+3a_(q+m) +4a_(q+2m),,4a_(q)+9a_(q+m)+16a_(q+2m)),(a_(r)+a_(r+m)+a_(r+2m),,2a_(r)+3a_(r+m)+4a_(r+2m),,4a_(r) +9a_(r+m)+16a_(r+2m)):}|`

Promotional Banner

Similar Questions

Explore conceptually related problems

Prove that for any A.P. a_1, a_2, a_3, , then determinant |a_p+a_(p+m)+a_(p+2m) 2a_p+3a_(p+m)+4a_(p+2m)a_q+a_(q+m)+a_(q+2m)2a_q+3a_(q+m)+4a_(q+2m)a_r+a_(r+m)+a_(r+2m)2a_r+3a_(r+m)+4a_(r+2m) 4a_p+9a_(p+m)+16 a_(p+2m)4a_q+9a_(q+m)+16 a_(q+2m)4a_r+9a_(r+m)+16 a_(r+2m)|=0

If a_(1),a_(2),a_(3),…. are in A.P., then a_(p),a_(q),q_(r) are in A.P. if p,q,r are in

If a_(1),a_(2),a_(3),…. are in A.P., then a_(p),a_(q),q_(r) are in A.P. if p,q,r are in

If a_(1),a_(2),a_(3),…. are in A.P., then a_(p),a_(q),a_(r) are in A.P. if p,q,r are in

If a_(1),a_(2),a_(3),….,a_(r) are in GP, then prove that the determinant |(a_(r+1),a_(r+5),a_(r+9)),(a_(r+7),a_(r+11),a_(4+15)),(a_(r+11),a_(r+17),a_(r+21))| is independent of r .

If a_(1),a_(2),a_(3),….,a_(r) are in GP, then prove that the determinant |(a_(r+1),a_(r+5),a_(r+9)),(a_(r+7),a_(r+11),a_(4+15)),(a_(r+11),a_(r+17),a_(r+21))| is independent of r .

Let a_(1),a_(2),a_(3)... be in A.P.and a_(p),a_(q),a_(r) be in G.P.then value of (a_(q))/(a_(p)) is

For any AP show that a_(p)+a_(p+2q)=2a_(p+q)

If a_(1),a_(2),a_(3), ……….. Are in A.P. such that a_(4)/a_(7) = 3/2 , then the 13^(th) term of the A.P. is …………..

Let a_(1), a_(2), a_(3) ….. be terms of an A.P. If (a_(1) + a_(2) + …..a_(p))/(a_(1) + a_(2) + …..a_(q)) = (p^(2))/(q^(2)) (p ne q) then (a_(6))/(a_(21))=