Find the sum of the sequence 96 - 48 + 24 ……… upto 10 terms.

Find the sum of first n terms of :

(i) 4 + 44 + 444 + ……

(ii) 0.7 + 0.77 + 0.777 + …….

If for a G.P., p^th, q^th and r^th terms are a, b and c respectively; prove that :

(q - r)log a + (r - p)log b + (p - q)log c = 0

If a, b and c are in G.P., prove that :

log a, log b and log c are in A.P.