In this tutorial we discuss about the related problems of application of geometric sequence and geometric series.
A line is divided into six parts forming a geometric sequence. If the shortest length is cm and the longest is cm, find the length of the whole line.
Since we have
For the length of the whole line, we have
Therefore, the whole length of the line is equal to cm.
The value of an automobile depreciates at the rate of per year. What will be the value of an automobile after three years hence which is now purchased for Dollar .
Let = purchased value of the automobile.
The value of automobile at the end of first year
The value of automobile at the end of second year
Similarly, the value at the end of third year
Hence, the value of the automobile at the end of years hence now purchased for