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Find the sum of all multiples …

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Find the sum of all multiples of 7 lying between 500 and 900

Posted by Sara Sharma 6 years, 10 months ago

CBSE > Class 10 > Mathematics

3 answers

??Róyál⛔⛔ ????Himánshú⚡⚡ 6 years, 10 months ago

39900 sum

1Thank You

Yogita Ingle 6 years, 10 months ago

504 , 511 , 518 , ....,889, 896 are multiples of 7 between 500 and 900 and these are in Arithmetic progression .

First term = a = 504 , Common difference = a₂ - a₁= d = 511 - 504 = 7

Let the number of terms = n

Last term ( L ) = 896

We know that ,

a + ( n - 1 )d = L

504 + ( n - 1 ) 7 = 896

Divide each term with 7 , we get

72 + n - 1 = 128

71 + n = 128

n = 128 - 71

n = 57

2Thank You

Anamika Sharma? 6 years, 10 months ago

Calculate?

1Thank You

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CBSE > Class 10 > Mathematics