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math What is the common difference of the sum of n terms of an arithmetic series If s= 5n^2-11n?

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The sum of n terms of an arithmetic series is given as:

Sn = 5n^2 - 11n

Sn-1 = 5(n - 1)^2 - 11(n - 1)

=> 5(n^2 + 1 - 2n) - 11n + 11

=> 5n^2 + 5 - 10n - 11n + 11

=> 5n^2 - 21n + 16

The term tn = Sn - Sn-1

=> 5n^2 - 11n - 5n^2 + 21n - 16

=> 10n - 16

The common difference = tn - tn-1

=> 10n - 16 - (10(n - 1) - 16)

=> 10n - 16 - 10n + 10 + 16

=> 10

The common difference of the series is 10

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