True or False :
The sum or difference of two G.P.s is again a G.P.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P., and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P^2R^n = S^n .

Let S be the sum, P the product and R the sum of reciprocals of n terms in a G.P. Prove that P^(2)R^(n) = S^(n) .

The sum of an infinite number of terms of a G.P. is 15 and the sum of their squares is 45. Find the G.P.

True or false If A and B are independent events associated with an experiment, then P(AcapB)=P(A)+P(B) .

If S_n represents the sum of n terms of a G.P. whose first term and common ratio are a and r respectively. Prove that : S_1 +S_2+S_3+.....+S_(m)= (am)/(1-r)-(ar(1-r^(m)))/((1-r)^2) .

The sum of the first three consecutive terms of G.P. is 13 and the sum of their Squares is 91. Determine the G.P.

True or false If A and B are two independent events then P(A and B)=P(A)P(B).

True or false If A and B are two events such that P(A)>0 and P(A)+P(B)>1, then P(B/A)ge1-(P(B'))/(P(A)) .