angeladominguezgarci
22.08.2019 •
Mathematics
Fiona has proved that a function, f(x), is an arithmetic sequence. how did she prove that? a. she showed that an explicit formula could be created. b. she showed that a recursive formula could be created. c. she showed that f(n) ÷ f(n - 1) was a constant ratio. d. she showed that f(n) - f(n - 1) was a constant difference.
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Ответ:
Option D is correct
Step-by-step explanation:
Option D is correct
Being an arithmetic sequence there will be common difference between the consecutive terms
Option A is incorrect because it is not necessary that explicit formula is an arithmetic sequence we can create explicit formula for any sequence
Option B is incorrect because recursive formula can be created for any sequence for geometric series also.
Option C is incorrect because the sequence that has constant ratio is the geometric sequence not an arithmetic sequence.
Ответ:
D. She showed that f(n) - f(n - 1) was a constant difference.
Step-by-step explanation:
∵ A sequence is called arithmetic if there is constant difference between consecutive numbers,
Thus, option D is correct.
In Explicit formulas, we define each term in a sequence directly,
Thus, there are many sequences other than arithmetic that have explicit formula,
i.e. Option A can not be true.
Now, recursive formula defines the relation between successive terms,
Thus, there are many sequences other than arithmetic that have recursive formula,
i.e. Option B can not be true.
Also, if the ratio between successive terms is constant then the sequence is a Geometric sequence,
A GP can not be an AP,
i.e. Option D can not be true.
Ответ:
can you send me a pic of the tryangles plz