Home
Class 11
MATHS
If (p+q) ^(th) term and (p-q) ^ (th) ter...

If `(p+q) ^(th)` term and `(p-q) ^ (th)` terms of G.P. are a and b respectively, prove that `p^(th)` term is `sqrt(ab)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER-2

    ICSE|Exercise Section-B|10 Videos
  • MODEL TEST PAPER-2

    ICSE|Exercise Section-C|10 Videos
  • MODEL TEST PAPER-19

    ICSE|Exercise SECTION - C |10 Videos
  • MODEL TEST PAPER-6

    ICSE|Exercise SECTION - C|10 Videos

Similar Questions

Explore conceptually related problems

The (p+q)th term and (p-q)th terms of a G.P. are a and b respectively. Find the pth term.

If the 4^(th),7^(th) and 10^(th) terms of a G.P. are a, b and c respectively, prove that : b^(2)=ac

If 6^(th) and 12^(th) term of an A.P. are 13 and 25 respectively , then its 20^(th) term is

If the p^(t h) and q^(t h) terms of a G.P. are q and p respectively, show that (p+q)^(t h) term is ((q^p)/(p^q))^(1/(p-q)) .

The 3rd, 7th and 11th terms of a G.P. are x, y and z respectively, then prove that y^(2)= xz.

The 5th, 8th and 11th terms of a G.P. are p, q and s, respectively. Show that q^(2)=ps.

If the 5^(th) and 11^(th) terms of an A.P. are 16 and 34 respectively. Find the A.P.

The 5th, 8th and 11th terms of a G.P. are P, Q and S respectively. Show that Q^(2)='PS .

If 7th and 13th terms of an A.P. be 34 and 64 respectively, then its 18th term is

The 6th and 17th terms of an A.P. are 19 and 41 respectively, find the 40th term.