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Find all the integers from 100 …

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Find all the integers from 100 to 550, which are not divisible by 9?

Posted by Sanket Arjun 6 years, 3 months ago

CBSE > Class 10 > Mathematics

3 answers

Rohan Stark 6 years, 3 months ago

The answer is 48 bro. Say thanks to your genius

Gautam Bhatia 6 years, 3 months ago

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Gaurav Seth 6 years, 3 months ago

The sum of all integers between 100 and 550, which are divisible by 9 is 16425.

Step-by-step explanation:

Integers between 100 and 550, which are divisible by 9 are 108, 117, 126 , ....... 549

Here,

a = 108, d = 9, an(l) = 549

By using the formula ,an = a + (n - 1)d

549 = 108 + (n -1)9

549 - 108 = 9(n -1)

441 = 9(n -1)

n -1 = 441/9

n -1 = 49

n = 49 + 1

n = 50
By using the formula ,Sum of nth terms , Sn = n/2 [a + l]

⇒ S50 = 50/2 (a + l)

⇒ S50 = 25 (108 + 549)

⇒ S50 = 25 × 657

⇒ S50 = 16425

Hence, the sum of all integers between 100 and 550, which are divisible by 9 is 16425

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