How many four digit numbers between 999 and 3000
Answers
Answered by
39
2001
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Answered by
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In between the numbers 999 and 3000, there are totally 2000 four digit numbers.
Solution:
Four 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
According to formula,
n term of a A.P series
By substituting the values of equations 1, 2, and 3 in equation 4,
We get,
n = 2000
Hence between 999 and 3000 there are 2000 four digits numbers.
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