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ra1l [238]
4 years ago
15

How many numbers between 1 and 400 are divisable by 7

Mathematics
2 answers:
valentinak56 [21]4 years ago
7 0
Divide 400 by 7. You get 1 as a remainder. now subtract one from 400 to get the greatest number less than 400 which is divisible by 7. 
<span>Now consider multiples of 7*1=7 is the 1st </span>
<span>similarly 7*2=14 is the 2nd </span>
<span>if their are n numbers than 7*n=399 </span>
<span>u get n =57 which is the answer</span>
Sladkaya [172]4 years ago
7 0
400/7 = 57.14...
57 * 7 = 399

{7, 14, 21 .... 399}

a_1=7\\\\ a_n=399\\\\ d=7\\\\ a_n=a_1+(n-1)d\\\\ 399 = 7 +(n-1)7 \ |:7\\\\ 57=1+n-1 \\\\n = 57
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