Geometric Sequence S = 1.0011892 + ... + 1.0012 + 1.001 + 1

Step-by-step explanation:

The correct form of the question is:

Required

Solve for Sum of the sequence

The above sequence represents sum of Geometric Sequence and will be solved using:

But first, we need to get the number of terms in the sequence using:

Where

So, we have:

Apply law of indices:

Apply law of indices:

Represent 1 as

They have the same base:

So, we have

Solve for n

So, there are 1893 terms in the sequence given.

Solving further:

Where

So, we have:

Simplify the numerator

Open Bracket

Hence, the sum of the sequence is:

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