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Final answer:

Explanation on finding the sum of the first 8 terms in a geometric progression.


Explanation:

To find the sum of the first 8 terms of a geometric progression starting with the terms 5, 10, 20, ...

  1. Identify the common ratio by dividing any term by its previous term, for example: 10 ÷ 5 = 2.
  2. Calculate the sum using the formula for the sum of the first n terms of a geometric series: Sum = first term (1 - common ratio^n) / (1 - common ratio).
  3. Substitute the values: Sum = 5 (1 - 2^8) / (1 - 2).

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