If `-5/7, a, 2` are consecutive terms in an Arithemetic Progression, then the value of ‘a’ is 

If 4/5,\ a ,\ 2 are three consecutive terms of an A.P., then find the value of a .

The radius of the inscribed circle and the radii of the three escribed circles of a triangle are consecutive terms of a geometric progression then triangle

The 5^("th") and the 31^("th") terms of an arithmetic progression are, respectively 1 and -77 . If the K^("th") term of the given arithmetic progression is -17 , then the value of K is

If a_(1), a_(2), a_(3), a_(4), a_(5) are consecutive terms of an arithmetic progression with common difference 3, then the value of |(a_(3)^(2),a_(2),a_(1)),(a_(4)^(2),a_(3),a_(2)),(a_(5)^(2),a_(4),a_(3))| is

If 3x -4, x +4 and 5x +8 are the three positive consecutive terms of a geometric progression, then find the terms.

If the first 3 consecutive terms of a geometrical progression are the real roots of the equation 2x^(3)-19x^(2)+57x-54=0 find the sum to infinite number of terms of G.P.

Let k be the greatest integer for which 5m^(2)-16,2km,k^(2) are distinct consecutive terms of an A.P (arithmatic progression) m in R. If the common difference of the A.P is (alpha)/(beta), then find the least value of (26 beta-alpha)

Arrange the expansion of (x^(1//2) + (1)/(2x^(1//4)))^n in decreasing powers of x. Suppose the coefficient of the first three terms form an arithemetic progression. Then the number of terms in the expression having integer powers of x is - (A) 1 (B) 2 (C) 3 (D) more than 3

The first, second and seventh terms of an arithmetic progression (all the terms are distinct) are in geometric progression and the sum of these three terms is 93. Then, the fourth term of this geometric progression is