Let `a_(1),a_(2),a_(3),…….` is a G.P If 2,5 are 2 geometric means intersect between `a_(4)` and `a_(7)` , find the product of first 10 terms of the G.P

If a_(1), a_(2), a_(3),........, a_(n) ,... are in A.P. such that a_(4) - a_(7) + a_(10) = m , then the sum of first 13 terms of this A.P., is:

If a_(1), a_(2), a_(3) ,... are in AP such that a_(1) + a_(7) + a_(16) = 40 , then the sum of the first 15 terms of this AP is

It a_(1),a_(2),a_(3)...... terms of this A.P.such that a_(4)-a_(7)+a_(10), then the sum of first 13 terms of this A.P is

If a_(1),a_(2),a_(3),.... are in G.P. with common ratio as r^(2) then log a_(1),log a_(2),log a_(3),.... will be in

Let a_(n) be the nth term of an A.P and a_(3)+a_(5)+a_(8)+a_(14)+a_(17)+a_(19)=198. Find the sum of first 21 terms of the A.P.

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Produmt of geometrimc means is 3^(35) and sum of arithmetic means is 14025. The value of m is

Let A_(1),A_(2),A_(3),"......."A_(m) be arithmetic means between -3 and 828 and G_(1),G_(2),G_(3),"......."G_(n) be geometric means between 1 and 2187. Produmt of geometrimc means is 3^(35) and sum of arithmetic means is 14025. The valjue of n is

If a_(n) is a geometric sequence with a_(1)=2 and a_(5)=18, then the value of a_(1)+a_(3)+a_(5)+a_(7) is equal to

Let a_(1),a_(2),a_(3),......,a_(m) be the arithmetic means between -2 and 1027 and let g_(1),g_(2),...,g_(n) be the geometric mean between 1 and 1024.g_(1)*g_(2)*g_(3)...g_(n)=2^(45) and a_(1)+a_(2)+a_(3)+....+a_(m)=1025xx171 (i) The value of n is : (ii) The value of m is