[5" Find the value of "C," if the following are the consecutive "],[" terms of an arithmetic progression: "],[" (i) "C+2,4C-6,3C-2quad " (ii) "(2)/(3),C,(5)/(8)]

Find the value of 5C_3 + 4C_2

Find the value of 5C_3 + 4C_2

Find three numbers a, b, c between 2 and 18 such that: (i) their sum is 25, and (ii) the numbers 2, a, b are consecutive terms of an arithmetic progression, and (iii) the numbers b, c, 18 are consecutive terms of a geometric progression.

If the numbers a, b, c, d, e are in arithmetic progression then find the value of a - 4b + 6c - 4d + e.

If a, b, c be in Arithmetic progression, then, then value of (a+2b-c)(2b+c-a)(a+2b+c) is

Find the sum of the following algebraic expressions : 3a - 4b + 5c , 2a + 3b - 6c , - 5a + 8b + 7c

If C_1, C_2 , C_3 , C_4 are the coefficients of any consecutive terms in the expansion of (1+x)^n , prove that : (C_1)/(C_1+C_2) + (C_3)/(C_3+C_4) = (2C_2)/(C_2 + C_3)

If a, b and c are positive numbers in arithmetic progression and a^(2), b^(2) and c^(2) are in geometric progression, then a^(3), b^(3) and c^(3) are in (A) arithmetic progression. (B) geometric progression. (C) harmonic progression.

Find the value of : C(5,1)+C(5,2)+C(5,3)+C(5,4)

If C_1,C_2,C_3,C_4 are the coefficients of any four consecutive terms in the expansion of (1+ x)^n , prove that : C_1/(C_1+C_2)+C_3/(C_3+C_4)=(2C_2)/(C_2+C_3) .