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Dmitriy789 [7]
3 years ago
12

What is the common difference of an arithmetic sequence defined by the formula an=2n−4?

Mathematics
2 answers:
Ainat [17]3 years ago
5 0

Answer:

d = 2

Step-by-step explanation:

Generate the first few terms

a₁ = (2 × 1) - 4 = 2 - 4 = -2

a₂ = (2 × 2) - 4 = 4 - 4 = 0

a₃ = (2 × 3) - 4 = 6 - 4 = 2

a₄ = (2 × 4) - 4 = 8 - 4 = 4

d = 0 - (- 2) = 2 - 0 = 4 - 2 = 2

allsm [11]3 years ago
5 0

Answer:

Common difference = 2.

Step-by-step explanation:

The general formula for an arithmetic sequence is

 an = a1 + d(n-1) where d = the common difference. This can be rearranged to:

an = dn - d + a1

So comparing:

an =  2n - 4 with the above we see that d = 2.

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Step-by-step explanation:

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Read 2 more answers
Please help!posted picture of question
olchik [2.2K]
Answer:
\frac{x^2 - 5}{4x + 1}, x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
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Now, we should note that any function is undefined if its denominator is equal to zero.
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x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

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Answer:

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