if a1 a2 a3 and b1 b2 b3 are in ap
if a1 a2 a3 and b1 b2 b3 are in ap, if a1 a2 a3 and b1 b2 b3 are in ap and a1 2, if a1 a2 a3 are in ap, if for an ap a1 a2 a3, if a2 b2 c2 are in ap, suppose a1 a2 a3 are in ap, if 1/a 1/b 1/c are in ap, if b3 b2 a2 a2+1, in an ap if a2+a5-a3 10, is b in a1 a2 a3, if for an ap a1+a3+a5 -12, a1 and b1 or a2 and b2, if b+c-2a/a c+a-2b/b a+b-2c/c are in ap, if b3 b2 1 a2+1, if p-1 p+1 2p+3 are in ap, if a/b+b/a -1 then a3-b3, if p-1 p+3 3p-1 are in ap, if an is an ap and a1+a4+a7, a1+a2+a3 / b1+b2+b3, a+b a2-ab+b2 a3+b3, a3-b3 a-b a2+ab+b2, a1/a2 is not equal to b1/b2
if a1 a2 a3 and b1 b2 b3 are in ap. There are any references about if a1 a2 a3 and b1 b2 b3 are in ap in here. you can look below.
if a1 a2 a3 and b1 b2 b3 are in ap
if a1 a2 a3 and b1 b2 b3 are in ap and a1 2
if a1 a2 a3 are in ap
if for an ap a1 a2 a3
if a2 b2 c2 are in ap
suppose a1 a2 a3 are in ap
if 1/a 1/b 1/c are in ap
if b3 b2 a2 a2+1
in an ap if a2+a5-a3 10
is b in a1 a2 a3
if for an ap a1+a3+a5 -12
a1 and b1 or a2 and b2
if b+c-2a/a c+a-2b/b a+b-2c/c are in ap
if b3 b2 1 a2+1
if p-1 p+1 2p+3 are in ap
if a/b+b/a -1 then a3-b3
if p-1 p+3 3p-1 are in ap
if an is an ap and a1+a4+a7
a1+a2+a3 / b1+b2+b3
a+b a2-ab+b2 a3+b3
a3-b3 a-b a2+ab+b2
a1/a2 is not equal to b1/b2
if a1 a2 a3 and b1 b2 b3 are in ap, if a1 a2 a3 and b1 b2 b3 are in ap and a1 2, if a1 a2 a3 are in ap, if for an ap a1 a2 a3, if a2 b2 c2 are in ap, suppose a1 a2 a3 are in ap, if 1/a 1/b 1/c are in ap, if b3 b2 a2 a2+1, in an ap if a2+a5-a3 10, is b in a1 a2 a3, if for an ap a1+a3+a5 -12, a1 and b1 or a2 and b2, if b+c-2a/a c+a-2b/b a+b-2c/c are in ap, if b3 b2 1 a2+1, if p-1 p+1 2p+3 are in ap, if a/b+b/a -1 then a3-b3, if p-1 p+3 3p-1 are in ap, if an is an ap and a1+a4+a7, a1+a2+a3 / b1+b2+b3, a+b a2-ab+b2 a3+b3, a3-b3 a-b a2+ab+b2, a1/a2 is not equal to b1/b2
