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An arithmetic sequence 2, 5, 8, 11, 14, .... is written in order in a book, one hundred numbers per page, beginning on page one. On which page will the number 11,111 appear?

 Jan 17, 2019
 #1
avatar+96201 
+1

The  common difference is 3

 

So...we can solve this

 

11,111 = 2 + 3 (n -  1)

11,111 = 2 + 3n - 3

11,111 = 3n - 1

11,112 = 3n    

3704 = n

 

So.....11,111  is the 3704 term

 

And it appears on   page  ....  ceiling ( 3704 /100)   =  page 38

 

 

 

cool cool cool

 Jan 17, 2019

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