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VashaNatasha [74]
3 years ago
10

Find the 9th term geometric sequence 1,1/2,1/2^2w. Please show the steps.

Mathematics
1 answer:
pickupchik [31]3 years ago
3 0

Answer:

9th term geometric sequence (a9) = 1 / 256

Step-by-step explanation:

Given:

Geometric sequence 1,1/2,1/2²

First term (a) = 1

Common ratio (r) = A2 / A1 = (1/2) / 1 = 1/2

Number of term (n) = 9

Find:

9th term geometric sequence (a9)

Computation:

an = ar^{n-1}

a9 = ar⁹⁻¹

a9 = (1)(1/2)⁸

a9 = (1/2)⁸

a9 = 1/256

9th term geometric sequence (a9) = 1 / 256

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