Nth term question help please

Answers

Answer 1

Answer:

Answer:

$\displaystyle{a.) \ \ a_n = -2n+14}\n\n\displaystyle{b.) \ \ a_n = -5n+30}$

Step-by-step explanation:

Part A

The common difference is -2 as the sequence decreases down to 2 each. Thus, the sequence is an arithmetic sequence. To find the nth term of an arithmetic sequence, we can follow the formula:

$\displaystyle{a_n = a_1+\left(n-1\right)d}$

Where $a_n$ is the nth term, $a_1$ is the first term, and $d$ is the common difference which we know that it is -2. By substitution of values we know, we will have:

$\displaystyle{a_n = 12+\left(n-1\right)\left(-2\right)}\n\n\displaystyle{a_n = 12-2n+2}\n\n\displaystyle{a_n = -2n+14}$

Hence, the nth term of the sequence is $\displaystyle{\bold{a_n = -2n+14}}$

Part B

The common difference is -5 as the sequence decreases by 5 each. This also makes the sequence an arithmetic sequence. Thus, we can apply the same formula as we did previously. By substitution of known values, we will have:

$\displaystyle{a_n = 25+\left(n-1\right)\left(-5\right)}\n\n\displaystyle{a_n = 25-5n+5}\n\n\displaystyle{a_n = -5n+30}$

Hence, the nth term of the sequence is $\displaystyle{\bold{a_n = -5n+30}}$

C.) 0°, 180°, 360°, 540°

is correct !

Answer:

C. SEE ATTACHED PICTURE

Step-by-step explanation:

Tangent = 0 at 0° and 180°

0° = 360° and. 180° = 540°

A graph has age (weeks) on the x-axis, and height (inches) on the y-axis. Points are grouped closely together and increase slightly.Describe the relationship between the variables.
There is no relationship between the variables.
As the age increases, the height increases.
As the age increases, the height decreases.
As the height decreases, the age decreases.

Answers

Answer:

the correct answer is B because if you look at the graph you will see that both are increasing so the answer is as the age increases the height increases

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor
8m³-18m
im so confused

Answers

8m³ - 18m

When you factor this equation, you need to find the common number or variable in the two terms.

8 and 18 can be divide by 2.

8 ÷ 2 = 4
18 ÷ 2 = 9

2(4m³ - 9m)

You will notice that both terms have the variable m. We can remove that.

2m(4m²-9) This is the factor of 8m³-18m

Solve: 9x - 5 = 22
plz show your working :)