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almond37 [142]
3 years ago
11

Which best describes the relationship between the successive terms in the sequence below? –3.2, 4.8, –7.2, 10.8, …

Mathematics
2 answers:
Leto [7]3 years ago
6 0
Since you are not given the following choices, by analyzing this series, it is a geometric progression because their common ratio is constant. Proofing that
4.8/(-3.2) = -1.5, also
-7.2/(4.8) = -1.5, and also
10.8/(-7.2) = -1.5
taurus [48]3 years ago
5 0

Solution:

we have been asked to find the relationship between the successive terms in the sequence below? –3.2, 4.8, –7.2, 10.8, …

As we can see the given successive terms in the sequence is following a particular pattern as shown below:

\frac{4.8}{-3.2}=\frac{-7.2}{4.8}=\frac{10.8}{-7.2}=-1.5

Its following properties of geometric sequence. Because the ratios of the successive terms is constant. So its a geometric progression.

Hence the given successive terms in the sequence is a geometric sequence.

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Simplity (4^-2)^5<br> A.1/4^10<br> B. 4^3<br> C.1/4^3<br> D. 4^10
Goshia [24]

Answer:

(4^{-2})^5=\dfrac{1}{4^{10}}

Step-by-step explanation:

The given expression is : (4^{-2})^5

We need to simplify the above expression.

We know that, x^{-a}=\dfrac{1}{x^a}

or

(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}

So, the simplified form of the given expression is \dfrac{1}{4^{10}}. Hence, the correct option is (A).

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3 years ago
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