SOLUTION: The decimal number 5.101001000100001.... What is the total number of 0's between the 98th and 101st 1 in this decimal? The answer is 297, but I do not understand how they got

Algebra ->  College  -> Linear Algebra -> SOLUTION: The decimal number 5.101001000100001.... What is the total number of 0's between the 98th and 101st 1 in this decimal? The answer is 297, but I do not understand how they got      Log On


   

Question 467138: The decimal number 5.101001000100001....
What is the total number of 0's between the 98th and 101st 1 in this decimal?
The answer is 297, but I do not understand how they got this.
Can you help?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

use arithmetic progression..
number of zero increasing in arithmetic progression

number of zero between 98th and 99th 1 = 98
number of zero between 99th and 100th = 99
number of zero between 100th and 101th = 100
total number of zero between 98th and 101st 1 = 297