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Troyanec [42]
3 years ago
12

Find the value or X. Round your answer to the nearest tenth.

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

x = 9.3

Step-by-step explanation:

tan 25° = x/20

0.4663 = x/20

x = 9.3

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What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
SOVA2 [1]

Answer:

The common ratio of the geometric sequence is:

r=-2

Step-by-step explanation:

A geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where

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  • a₁ is the first term
  • r is the common ratio

Given the sequence

-2,\:4,-8,\:16,\:-32,\:...

Compute the ratios of all the adjacent terms:  r=\frac{a_n+1}{a_n}

\frac{4}{-2}=-2,\:\quad \frac{-8}{4}=-2,\:\quad \frac{16}{-8}=-2,\:\quad \frac{-32}{16}=-2

The ratio of all the adjacent terms is the same and equal to

r=-2

Therefore, the common ratio of the geometric sequence is:

  • r=-2
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