What is the common ratio for the sequence 5,-10,20,-40?

Mathematics

1 answer:

algol [13]3 years ago

8 0

Answer:

The COMMON RATIO of the sequence is -2.

Step-by-step explanation:

Here, the given sequence is:

5, -10, 20 ,-40

Here, The first term ( a 1 ) of the sequence is (5)

The second term (a 2) of the sequence is (-10)

Third term of sequence (a 3) is 20

Now, calculating the common ratio (r) of sequence ,we get:

$\frac{a_2}{a_1} = r = (\frac{-10}{5}) = -2\\\frac{a_3}{a_2} =r = (\frac{20}{-10}) = -2$

So, here r =(-2)

⇒ The COMMON RATIO of the sequence is -2.

Hence, the given sequence in in GEOMETRIC PROGRESSION.

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