how many natural numbers are there between 200 and 500 which are divis

1.	how many natural numbers are there between 200 and 500 which are divisible by 7
Answer» Given: A.P. 203, 210, 217, ………., 497Here a = 203, d = 210 - 203 = 7\xa0and an = 497Now, an = a + (n - 1)d {tex}\\Rightarrow 497= 203 + ( n - 1 ) \\times 7{/tex}{tex}\\Rightarrow 497- 203 = ( n - 1 ) \\times 7{/tex}{tex}\\Rightarrow 294= ( n - 1 ) \\times 7{/tex}{tex}\\Rightarrow n - 1 = \\frac { 294} { 7 } = 32{/tex}{tex}\\Rightarrow{/tex}\xa0n = 33\xa0\xa0

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