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Agata [3.3K]
2 years ago
10

Find the 7th term of the geometric sequence1/8, 1/2, 2, ...​

Physics
1 answer:
schepotkina [342]2 years ago
5 0

Answer:

512

Explanation:

Given sequence:

        1/8, 1/2, 2, ...

Unknown:

The 7th term of the geometric sequence  = ?

Solution:

To solve this problem, we apply the formula below;

       Sₙ   = arⁿ⁻¹

a is the first term

r is the common ratio

n is the nth term

  r  = \frac{\frac{1}{2} }{\frac{1}{8} }    = \frac{1}{2}  x 8   = 4

Input the parameters and solve;

      Sₙ  = \frac{1}{8} x 4⁷⁻¹

     Sₙ   = \frac{1}{8} x 4⁶  = 512

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