All categories

3 years ago

Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)

Mathematics

1 answer:

larisa [96]3 years ago

7 0

Since an arithmetic sequence is a sequence of numbers and the difference of any two successive members of the sequence is a constant

So this question is arithmetic because it keep minus by 7

from 19 - 7 = 12

12 - 7 = 5

5 - 7 = -2

so common difference is -7

or you can check with arithmetic formular as

$a_{n}$ = $a_{1}$ + (n−1)d

I will just put in the 4th term which is -2 and n will equal to 4

and $a_{1}$ is the 1st term which is 19

-2 = 19 + (4−1)d

-2 - 19 = 3d

d = $\frac{-21}{3}$

d = -7

You might be interested in

The function v(r)=4/3pir^3 can be used to find the volume of air inside a basketball given its radius. What does v(r) represent

ElenaW [278]

V(r) represents as the volume of a sphere

8 0

3 years ago

How do polynomial identities apply to complex numbers?

Leni [432]

Answer:

Let start with what a polynomial is. Look in the step-by-step explanation.

Step-by-step explanation:

We know a polynomial has more than one term, right?

3 0

3 years ago

Find the vertex and axis of the graph of the function f(x)=3(x-1)^2+5

UNO [17]

This function is in vertex form: f(x)=a(x-h)^2 - k
Where (h , k) is the vertex. x=h is the axis of symmetry.
Vertex (1,-5) axis of symmetry x = 1

5 0

4 years ago

The population of a bacteria sample doubles every 6 hours. How long would it take for the population to triple?

seraphim [82]

The way to solve this question is to essentially reverse the equation I used in the other answer.

I would solve this with some theoretical values. If you start with 3, how long would it take for it to triple, or reach 9.

the equation would look like 9 = 3(2)^t/6, note how the instead of 1/2 it is now 2 in the parenthesis, as it doubles every 6 hours rather than halves every amount of hours.

When placed into an algebra calculator, the answer should be about 9.5 hours

8 0

3 years ago

Read 2 more answers

V2=u2+2as v 2 = u 2 + 2 a s Where v v is the final velocity (in m/s), u u is the initial velocity (in m/s), a a is the accelerat

allsm [11]

Answer:

<em>Final velocity, v = 21.75 m/s</em>

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

$v^2=u^2+2as$

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/ $s^2$

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

$v^2=u^2+2as$

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

$v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s$

So, the answer is:

<em>final velocity, v = 21.75 m/s</em>

5 0

3 years ago