True or False :
Sequence obtained by squaring the terms of a G.P. is again a G.P.

The sum of three numbers which are consecutive terms of an A.P. is 21. If the second number is reduced by 1 and the third is increased by 1, we obtain three consecutive terms of a G.P. Find the numbers.

We are given two G.P.'s, one with the first term 'a' and common ratio ‘r’ and the other with first term ‘b’ and common ratio ‘s’. Show that the sequence formed by the product of corresponding terms is a G.P. Find its first term and the common ratio. Show also that the sequence formed by the quotient of corresponding terms is G.P. Find its first term and common ratio.

Find the 5^(th) term of the G.P , 1/2 , 1/4 ,1/8 ....

Find the 20th and nth terms of the G.P. 5/2,5/4,5/8, .....

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.

Find the 8^(th) term of the G.P , 7/2 , 7/4 , 7/8 ....

Find the n^(th) term of the G.P , 1/3 , 1/6 , 1/12 .....

The next term of the G.P. x ,x^2+2,a n dx^3+10 is

If agt0,bgt0,cgt0 be respectively the pth, qth and rth terms of a G.P. are a, b ,c , prove that : (q-r) log a+ (r -p) log b + (p -q) log c = 0 .

True or false If A and B are independent then P(exacttly one of A and B occurs)=P(A)P(B')+P(A')P(B).