find the no of term from 1 to 1000 which divisible by 7
Answers
Answer:
100terms
Step-by-step explanation:
till digit 70
10 terms are divisible by 7
hence by 490-49
hence by 980 by-98
thence by then 987 994
totally 100
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➺..First, we should write the series of number which are divisible by 7 ;
7 , 14 , 21 , ……… , 994
Mathematics formula of series of same different between all two elements of the given AP
Formula is :-
L = a + (n - 1)d
So , here
L = last number = 994
a = first number = 7
n = no. of numbers divisible by 7 ?
d = difference between 1st, 2nd term= 7
So we put all value in formulaz
994 = 7 + (n - 1) 7
994 - 7 = (n - 1) 7
987 = (n - 1 ) 7
987 / 7 = n - 1
n - 1 = 141
So, n = 142
∴ 142 numbers are between 1 to 1000 which are divisible by 7 .
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