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Let an be the nth term of an AP. If Σa2r for r is 1 to 100 = α and Σa(2r - 1) for r is 1 to 100 = β,

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Let an be the nth term of an AP. If Σa2r for r is 1 to 100 = α and Σa2r - 1 for r is 1 to 100 = β, then the common difference of the AP is

(a) (α - β)/200

(b) (α - β)

(c) (α - β)/100

(d) (β - α)

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Correct option (c) (α - β)/100

Explanation:

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