Let `a,b,c`, are non-zero real numbers such that `(1)/(a),(1)/(b),(1)/(c )` are in arithmetic progression and `a,b,-2c`, are in geometric progression, then which of the following statements (s) is (are) must be true?
A
`a^(2),b^(2), 4c^(2)` are in geometric progression
If a, b & 3c are in arithmetic progression and a, b & 4c are in geometric progression, then the possible value of (a)/(b) are
If p,q,r are in one geometric progression and a,b,c are in another geometric progression, then ap, bq, cr are in
If three real numbers a,b and c are in harmonic progression, then which of the folllowing is true ?
If a,b,c are in geometric progression and a,2b,3c are in arithmetic progression, then what is the common ratio r such that 0ltrlt1 ?
If a,b,c are non-zero real numbers such that 3(a^(2)+b^(2)+c^(2)+1)=2(a+b+c+ab+bc+ca) then a,b,c are in
Let three positive numbers a, b c are in geometric progression, such that a, b+8 , c are in arithmetic progression and a, b+8, c+64 are in geometric progression. If the arithmetic mean of a, b, c is k, then (3)/(13)k is equal to
If the numbers a,x,y,b are in arithmetic progression and the numbers c^3 , x,y, d^3 are in geometric progression then prove that a+ b = cd ( c+d)
If a, b and c are three positive numbers in an arithmetic progression, then:
