0

Guest

Courses New

The 2006th digit in sequence 123456789101112131415..........is

The 2006th digit in sequence 123456789101112131415..........is

Grade:10

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
All the natural numbers starting from 1 are enlisted:
So number of 1 digit numbers = 9
number of 2 digit numbers = 90(to calculate number of digits we need to multiply by 2)
number of 3 digit numbers starting from 100 till 699 = 600(to calculate number of digits we need to multiply by 3)
So, starting from 1 to 699, total number of digits will be
 9 + 2*90 + 3*600 = 1989.
If we also add 700-704 we get total 1989 + 15 = 2004 digits enlisted.
Now the 2006 digit in the sequence is clearly evident that would be the second digit of 705 which is 0.
Regards
Arun (askIITians forum expert)

Think You Can Provide A Better Answer ?

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More