Question

How many four digit numbers are there in 999and3000

Answer 1

Step-by-step explanation:

3001

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Answer 2

Step-by-step explanation:

There are totally 2000 4-digits number.

SOLUTIONS

4-digits numbers between 999 and 3000 are :-

1000,1001,1002,2999

The above series is arithmetic progression .

Hence, the first term (a) =1000 .....(1)

Common difference (d)= second term- first term =1001-1000= 1.....(2)

and the nth term (Tn)= 2999.... (3)

According to formula,

n term of a A.P series

Tn =a+(n-1) d......(4)

By substituting the values of equations

1,2 and 3 in equations 4.

We get

2999 =1000 + ( n-1) ×1

2999 =1000+ n - 1

3000=1000+ n

n=2000

Hence, between 999 and 3000 there are 2000 4-digits numbers.