Determine the no. of terms in the geometric sequence {81, 27, 9 …...1/81} Also find their associated sum.

Question

Determine the no. of terms in the geometric sequence {81, 27, 9 …...1/81} Also find their associated sum.
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Solution 1

To determine the number of terms in the given geometric sequence, we need to find the common ratio first. The common ratio can be found by dividing any term by its previous term.

Let's take the second term, 27, and divide it by the first term, 81:

27 / 81 = 1/3

So, the common ratio is 1/3.

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