Home
Class 12
MATHS
If a1,a2…,an are in G.P. then evalute.: ...

If `a_1,a_2…,a_n` are in G.P. then evalute.:
`|{:(loga_n,loga_(n+1),loga_(n+2)),(loga_(n+3),loga_(n+4),loga_(n+5)),(loga_(n+6),loga_(n+7),loga_(n+8)):}|=0`

Text Solution

Verified by Experts

The correct Answer is:
[using (1) ,(2) and (3) =0
Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2A|36 Videos

  • DETERMINANT

    CHHAYA PUBLICATION|Exercise EXERCISE 2B|111 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

Similar Questions

Explore conceptually related problems

If a_1,a_2,a_3,.....a_n.... are in G.P. then the determinant Delta=|[log a_n, log a_(n+1), log a_(n+2)],[log a_(n+3),loga_(n+4),log a_(n+5)],[log a_(n+6),log a_(n+7),log a_(n+8)]| is equal to- (A) -2 (B) 1 (C) -1 (D) 0

If a_(n)( gt 0) be the n^(th) term of a G.P. then |(log a_(n), log a_(n+1), log a_(n+2)),(log a_(n+3), loga_(n+4),log a_(n+5)),(log a_(n+6),log a_(n+7), log a_(n+8))| is equal to

If a,b,c are in GP Then prove that, loga ,logb , logc are in AP.

Prove that log a+log a^(2)+loga^(3)+….+loga^(n)=(n(n+1))/(2)loga

If the number of positive integral solutions of u+v+w=n be denoted by P_(n) then the absolute value of |{:(P_(n),P_(n+1),P_(n+2)),(P_(n+1),P_(n+2),P_(n+3)),(P_(n+2),P_(n+3),P_(n+4)):}| is

If a_1,a_2,a3,...,a_n are in A.P then show that 1/(a_1a_2)+1/(a_2a_3)+1/(a_3a_4)+...+1/(a_(n-1)a_n)=(n-1)/(a_1a_n)

If a_1,a_2,.....a_n are in H.P., then the expression a_1a_2 + a_2a_3 + ... + a_(n-1)a_n is equal to

Prove that log a+log a^(3)+loga^(5)+….+loga^(2n-1)=n^(2) loga

Show that the sequence loga, log(ab), log(ab^2), log(ab^3) ,.....is in A.P

Show that the sequence loga ,log(a b),log(a b^2),log(a b^3), is an A.P. Find the nth term.