Answer:
The explicit formula for a given geometric sequence is of the form
Step-by-step explanation:
Given sequence is
Let
To find the common ratio r:
Therefore r=-3
Therefore r=-3
Therefore common ratio is -3
Therefore given sequence is geometric sequence.
The explicit formula for a geometric sequence is , where common ratio is r.
From given sequence we are having r=-3
Therefore the explicit formula for a given geometric sequence is of the form
Hence, the sum of the given GP is 16347
<h2>What is a series?</h2>a series is the cumulative sum of a given sequence of terms. Typically, these terms are real or complex numbers, but much more generality is possible.
<h3>How to solve?</h3>we can identify from the given geomertric series.
first term = a(say) = 3
geometric factor of progression = r(say) = 4
Sum of the first 7 terms = a() ,where n is 7
Sum = 3() = 16348-1
= 16347
Hence, the sum of the given GP is 16347.
to learn more about series: brainly.com/question/12578626
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