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3 years ago

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

Physics

1 answer:

schepotkina [342]3 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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Find the 7th term of the geometric sequence1/8, 1/2, 2, ...​

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