Answer:
Step-by-step explanation:
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The geometrical series is a series of numbers. The nth term of the series is [8× 0.5⁽ⁿ⁻¹⁾].
The geometrical series is a series of numbers where the ratio of any two consecutive numbers is constant.
In a geometric series, r is the ratio between any two consecutive terms, therefore, the ratio of these terms can be written as,
r = (4/8) = (1/2)
Also, a₁ is the first term of the series, therefore, the first term of the series will be 8.
Thus, the nth term of this series will be equal to,
[tex]n^{th} = a_1 \times r^{(n-1)}\\\\n^{th} = 8 \times (\dfrac{1}{2})^{(n-1)}[/tex]
Hence, the nth term of the series is [8× 0.5⁽ⁿ⁻¹⁾].
Learn more about Geometric Series:
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