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▶Find out how many three digit numbers are divisible by 7.
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Answers
Answered by
6
Greatest three digit no. is 999
the last three digit no. divisible by 7 is 994
smallest three digit no. is 100
the last three digit no. divisible by 7 is 994
smallest three digit no. is 100
Anonymous:
Heyaa siso..I didnot ask about greatest three digit no.
and. n=128
this is the right answer
Answered by
48
Greatest Three digits number =999
Find the last three digit number divisible by 7 .
=994
Smallest three digit number =100
Smallest three digit number divisible by 7= 105
So, the AP becomes:-
105 , 112 , .........994
Here first term (a) =105
Common difference (d) =112-105
=7
Last term (an) =994
We need to find the total terms, i.e. N.
We know that,
an=a+(n-1)d
994=105+(n-1)×7
994-105=(n-1)×7
889=(n-1)×7
889/7=n-1
127=n-1
127+1=n
128 = n
Find the last three digit number divisible by 7 .
=994
Smallest three digit number =100
Smallest three digit number divisible by 7= 105
So, the AP becomes:-
105 , 112 , .........994
Here first term (a) =105
Common difference (d) =112-105
=7
Last term (an) =994
We need to find the total terms, i.e. N.
We know that,
an=a+(n-1)d
994=105+(n-1)×7
994-105=(n-1)×7
889=(n-1)×7
889/7=n-1
127=n-1
127+1=n
128 = n
Anytime @shreya :)
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