8. Five marks exercise problems IV

1. In a G.P. the \(9^{th}\) term is \(32805\) and \(6^{th}\) term is \(1215\). Find the \(12^{th}\) term.

 

Answer:

 

The \(12^{th}\) term \(=\) .

 

 

2. Find the \(10^{th}\) term of a G.P. whose \(8^{th}\) term is \(768\) and the common ratio is \(2\).

 

Answer:

 

The \(10^{th}\) term \(=\)

 

 

3. In a G.P. the product of three consecutive terms is \(27\) and the sum of the products of two terms taken at a time is \(\frac{57}{2}\). Find the three terms.

 

Answer:

 

When $r=\frac{i}{i}$, \((r < 1)\):

 

The three terms are $\frac{i}{i},i,i$.