Show that the progression 6, 18, 54, 162, ... is a GP. Write down its first term and the common ratio.

Show that the progression -16, 4, -1, 1/4 , ... is a GP. Write down its first term and the common ratio.

Show that the progression 1/2, (-1)/3, 2/9, (-4)/27 , ... is a GP. Write down its first term and find the common ratio.

Show that the progression 11, 6, 1, -4, -9, …. is an AP. Find its first term and the common difference.

Show that the progression 21,16,11,6,1,…, is an AP. Write its first term and the common difference. Which term of this AP is -54?

Write the GP if the first term a=3, and the common ratio r=2.

Write the GP if the first term a=3, and the common ratio r=2.

Write the GP if the first term a=3, and the common ratio r=2.

Write the GP if the first term a=3, and the common ratio r=2.

Write the G.P. If the first term a=3, and the common ratio r= 2.

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 in G.P. Find its first term and common ratio.