Find the sum of all three digit number less than 300 when are diveded by 7
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Step-by-step explanation:
the A.P are 7 , 14 , 21 , 28 ............ 294
the a = 7 and l =294 and d = 7
the total no of terms : -
294 = a + (n-1)d
294 = 7 + (n- 1)7
281 = (n-1)7
n -1 = 281 / 7
n = 41 +1
n =42
there are 42 terms and the sum of 42 terms are :-
= n/2(a + l)
= 42/2 ( 7 +294 )
= 21 x 301
= 6321
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