how many 3 digit natural numbers are divisible by 4 ( medal to the correct answer)
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OpenStudy (anonymous):
Three digit natural numbers are from 100 to 999.
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
I got the answer as 223 but my textbook says it is 225
OpenStudy (anonymous):
996=249*4
100=25*4
249-25+1=225
OpenStudy (anonymous):
Wait i will tell u all how i did it
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ganeshie8 (ganeshie8):
oh you wanto divide by 4
OpenStudy (anonymous):
yes
ganeshie8 (ganeshie8):
100 -> 999
100 + 4k
k = 0, 1, ....
ganeshie8 (ganeshie8):
100+4k < 1000
solve k
OpenStudy (anonymous):
1st term ---- 100
2nd term ----104
3rd term ----108
4th term ----112
We know tn= a + (n-1)d
nth term in this arithmetic progression would be 996 i suppose
So,
996 =100+(n-1)4
It comes to 223
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OpenStudy (anonymous):
@ganeshie8
ganeshie8 (ganeshie8):
looks good, except for the arithmetic error in ur last line
ganeshie8 (ganeshie8):
996 =100+(n-1)4
subtract 100 both sides
896 = (n-1)4
divide 4 both sides
224 = n-1
add 1 both sides
225 = n