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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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2 years ago
At 55 mph it will take you approximately _____ feet to stop the car. A. 5 feet B. 100 feet C. 228 feet
ololo11 [35]

Answer:

The correct answer is option C, 228 feet

Step-by-step explanation:

As per Newton’s third law of motion:

V2 – U2 = 2 x a x S

Where V = final velocity

U = Initial Vlocity

a = acceleration (-ve)

S= distance travelled

V= 0 mph

U= 55 mph = 80.6667 ft /sec

0 – (80.6667 ft /sec)2 = 2 x (-g/2) x S

S = (80.6667 ft /sec)2 /(32.2 feet per second per second x0.5)

S = 202.1 feet

So the most nearest option is option C

6 0
3 years ago
A, B & C lie on a straight line.
Liono4ka [1.6K]

Answer:

x = 129°

Step-by-step explanation:

∠ ABD and ∠ DBC are a linear pair and sum to 180° , then

y + ∠ DBC = 180°

107° + ∠ DBC = 180° ( subtract 107° from both sides )

∠ DBC = 73°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then

x = ∠ DBC + z = 73° + 56° = 129°

8 0
2 years ago
Pls help (kinda easy)
3241004551 [841]

Answer:

f(x)=(2x+1)(2x-1).

Step-by-step explanation:

We want to convert the function into the form that let's us easily find the x-intercept, and it would be for the form (ax+b)(cx+d) because then we can find the x-intercept in the following manner:

(ax+b)(cx+d)=0

x=-b/a

x=-d/c

We factor our function f(x)=4x^2-1 and get

\boxed{f(x)=(2x+1)(2x-1)}

Now this form let's us easily find the x-intercepts:

x=-1/2

x=1/2

and so we pick the second choice: f(x)=(2x+1)(2x-1).

5 0
3 years ago
Read 2 more answers
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