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pogonyaev
3 years ago
9

If 5 4, − = x then x = A. −21 B. −11 C. 1 D. 11

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
4 0
5 - x = 4
Subtract x from both sides.
5 - x + x = 4 + x
5 = 4 + x
Subtract 4 from both sides.
5 - 4 = 4 + x - 4
Hence, the answer:

x = 1
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What is the common ratio between successive terms in the sequence?
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Question:

What is the common ratio between successive terms in the sequence?

27, 9, 3, 1

Answer:

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Step-by-step explanation:

In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:

a, b, c, d...

The common ratio is found by any of the following;

r = \frac{b}{a}        ----------(i)

r = \frac{c}{b}        -----------(ii)

r = \frac{d}{c}        ------------(iii)

Any of equations (i) through (iii) will give the common ratio of the sequence.

============================================================

Now, from the question, the given sequence is;

27, 9, 3, 1

To get the common ratio, just divide the second term (9) by the first term (27) i.e

r = \frac{9}{27} = \frac{1}{3}

OR

You can also divide the third term (3) by the second term (9). i.e

r = \frac{3}{9} = \frac{1}{3}

OR

You can choose to divide the fourth term (1) by the third term (3). i.e

r = \frac{1}{3}

Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is \frac{1}{3}

7 0
3 years ago
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