Find the sum of all natural no. between 101 and 304, Mathematics

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Find the sum of all natural no. between 101 & 304 which are divisible by 3 or 5.

Find their sum.

Ans:    No let 101 and 304, which are divisible by 3.

102, 105.............303 (68 terms)

No. which are divisible by 5 are 105, 110......300 (40 terms)

No. which are divisible by 15 (3 & 5) 105, 120...... (14 terms)

∴ There are 94 terms between 101 & 304 divisible by 3 or 5. (68 + 40 - 14)

∴ S68 + S40 - S14

= 19035

 


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