যদি a,b,c তিনটি অসম সংখ্যা হয় যেমন a,b,c AP এবং (ba) ,. (cb) ,a GP এ আছেন..

If l n(a+c),l n(a-c)a n dl n(a-2b+c) are in A.P., then (a) a ,b ,c are in A.P. (b) a^2,b^2, c^2, are in A.P. (c) a ,b ,c are in G.P. d. (d) a ,b ,c are in H.P.

If a, b, c are in AP and a, b, d are in GP, show that a, (a-b) and (d-c) are in GP.

If a,b,c are in A.P. as well as in G.P. then

If a,b,c are in A.P ,then 3^(a),3^(b),3^(c) shall be in (A) A.P (B) G.P (C) H.P (D) None of these

If a,b,c,d,e be 5 numbers such that a,b,c are in A.P; b,c,d are in GP & c,d,e are in HP then prove that a,c,e are in GP

If a, b, c are in GP, prove that 1/((a+b)), 1/(2b), 1/(b+c) are in AP.

If a,b,c are in A.P and a,b,d are in G.P, prove that a,a-b,d-c are in G.P.

If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are in G.P ., then the common difference of A.P is

Let the positive numebrs a,b,c,d be in A.P. Then abc,abd,acd,bcd re (A) not in A.P., G.P., H.P. (B) in A.P. (C) in G.P. (D) in H.P.