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Evaluate Alternating Series Using Telescoping Method

❓ Question Evaluate the sum of the series: S = 2 × 1 × ( 20 4 ) − 3 × 2 × ( 20 5 ) + 4 × 3 × ( 20 6 ) − 5 × 4 × ( 20 7 ) + ⋯ + 18 × 17 × ( 20 20 )…
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