Given:
4, <em>x</em>, <em>y</em>, 108 are the consecutive terms of a G.P.
To find:
The <em>x</em> and <em>y</em>.
Solution:
The nth term of a G.P. is:
Where, a is the first term and r is the common ratio.
Let us consider 4, <em>x</em>, <em>y</em>, 108 are the first 4 terms of the G.P. Here 4 is the first term of the given G.P.
Suppose r the common ratio, then 4th term of the given G.P. is:
The 4th term of the G.P. is 108.
On comparing both sides, we get
The common ratio is 3.
The second term of the given G.P. is:
The third term of the given G.P. is:
Therefore, the value x is 12 and the value of y is 36.