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The first term of the geometric sequence is 0.0061
<u>Step-by-step explanation:</u>
The general form of geometric sequence is a, ar, ar²,ar³,.......
where,
- a is the first term of the sequence.
- r is the common ratio. Here, the common ratio r = 4.
- The 8th term of the sequence is 100. Hence n = 8.
<u>The formula to find the nth term of the geometric sequence is given by :</u>
⇒
⇒
⇒
⇒
⇒
⇒ a = 0.0061
Therefore, the first term of the geometric sequence is 0.0061