Sequences and S...

If for the triangle whose perimeter is 37 cms and length of sides are in G.P. also the length of the smallest side is 9 cms then length of remaining two sides are ___ and __

Find out four numbers such that, first three numbers are in G.P., last three numbers are in A.P. having common difference 6, first and last numbers are same.

If the harmonic mean and geometric mean of two numbers a and b are 4 and 3√ 2 respectively then the interval [a, b] = _______

A.M of the three numbers which are in G.P. is 14/3. If adding 1 in first and second number and subtracting 1 from the third number, resulting numbers are in A.P. then the sum of the squares of original three numbers is ______

If the H.M. of a and c is b, G.M. of b and d is c and A.M. of c and e is d, then the G.M. of a and e is ______

If a, b, c are in A.P. and geometric means of ac and ab, ab and bc, ca nad cb are d, e, f respectively then d², e², f² are in

If (666 ... n times)² + (8888 ... n times) = (4444 ... K times) then K = ______

If (m +1)^th, (n +1)^th and (r +1)^th terms of an A.P. are in G.P. and m, n, r are in H.P. then the common difference of the A.P. is _______