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n=1∑61​ 20(1.04) n

Question

n=1∑61​ 20(1.04) n

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Solution

The given expression is a sum of a geometric series. The general formula for the sum of a geometric series is:

S = a * (1 - r^n) / (1 - r)

where:

  • S is the sum of the series,
  • a is the first term of the series,
  • r is the common ratio of the series,
  • n is the number of terms.

In your case:

  • a = 20,
  • r = 1.04,
  • n = 61.

Substituting these values into the formula, we get:

S = 20 * (1 - (1.04)^61) / (1 - 1.04)

Please note that the denominator (1 - 1.04) is negative, so the whole expression will be negative.

Now, you can calculate the value of this expression using a calculator.

This problem has been solved

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