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Find the sum: 4/3 + 2/4 + ... + (5 - 1/n).

a) ∑ (1 - 1/n)
b) ∑ (1 + 1/n)
c) ∑ (2 - 1/n)
d) ∑ (2 + 1/n)

1 Answer

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Final answer:

The correct summation expression for the series 4/3 + 2/4 + ... + (5 - 1/n) is ∑ (1 - 1/n), which represents the series' terms correctly.

Step-by-step explanation:

The student is asking to identify the correct summation expression for a given series. To find the sum, we should closely observe the pattern of the series and match it to the correct expression.

The provided series is 4/3 + 2/4 + ... + (5 - 1/n). When simplified, this is equivalent to 1 + 1/3 + 1/2 + 1/4 + ... + 4 - 1/n. Examining the possible options:

  • a) ∑ (1 - 1/n)
  • b) ∑ (1 + 1/n)
  • c) ∑ (2 - 1/n)
  • d) ∑ (2 + 1/n)

It is clear that the correct expression for this series is option a) ∑ (1 - 1/n), as this expression represents the series' terms correctly.

User Doug Amos
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