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The sum of years digits method computes each year's charge using a fraction whose denominator is the

  • A.useful life n itself
  • B.product of the integers from one to n
  • C.salvage value divided by the first cost
  • D.sum of the integers from one to n

Answer: D

Correct answer: sum of the integers from one to n

The denominator is \( 1 + 2 + \cdots + n = n(n+1)/2 \), which for a five-year asset is 15. The numerator is the years of life remaining, so the fractions run 5/15, 4/15 and so on down to 1/15 - a charge that declines by equal steps and sums to exactly the depreciable base.

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