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2 answers:
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Answer:
Explanation:
Here, we want to get the sequence type
In an arithmetic sequence, the difference between terms is the same
For a geometric sequence, the division of a succeeding term by a preceding term would yield the term called the common ratio
Now, let us consider the differences:
This means that the sequence is not arithmetic
Now, let us test if geometric
Mathematically, we have that as:
This means that the given sequence is geometric
MO = 12 and PR = 3
Solution:
Given .
Perimeter of ΔMNO = 48
Perimeter of ΔPQR = 12
MO = 12x and PR = x + 2
<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.</em>
Do cross multiplication.
Subtract 48x from both sides.
Divide by 96 on both sides, we get
⇒ 1 = x
⇒ x = 1
Substitute x = 1 in MO an PR.
MO = 12(1) = 12
PR = 1 + 2 = 3
Therefore MO = 12 and PR = 3.