How Many 4 Digit Numbers Are Completely Divisible By 7?

1.	How Many 4 Digit Numbers Are Completely Divisible By 7?
Answer» 4digit NUMBERS divisible by 7 are: 1001, 1008, 1015….. 9996. This is an A.P. in which a=1001, d=7, l=9996. Let the number of terms be N. Then Tn=9996. .'. a+(n1)d=9996 => 1001+(n1)7= 9996 =>(n1)7=8995 =>(n1)=8995/7= 1285 => n=1286. .'. number of terms =1286. 4digit numbers divisible by 7 are: 1001, 1008, 1015….. 9996. This is an A.P. in which a=1001, d=7, l=9996. Let the number of terms be n. Then Tn=9996. .'. a+(n1)d=9996 => 1001+(n1)7= 9996 =>(n1)7=8995 =>(n1)=8995/7= 1285 => n=1286. .'. number of terms =1286.

Answer»

4digit

NUMBERS divisible by 7 are: 1001, 1008, 1015….. 9996.

This is an A.P. in which a=1001, d=7, l=9996.

Let the number of terms be N.

Then Tn=9996. .'. a+(n1)d=9996

=> 1001+(n1)7= 9996

=>(n1)7=8995

=>(n1)=8995/7= 1285

=> n=1286.

.'. number of terms =1286.