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3 years ago

Solve the inequality for n 14

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

Answer:

14n

Step-by-step explanation:

just rearrange the number with the variable

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Write an<br> explicit formula for An, the nth term of the sequence 7, -42, 252, ....

erik [133]

Answer:

$A_n = 7(-6)^{n-1}$

Step-by-step explanation:

<u>Key skills needed: Explicit formula, Geometric sequence</u>

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7 or 252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

$a_n = a_1(r)^{n-1}$

--> r means the constant (or common ratio) that is being multiplied.

--> $a_1$ means the first term

--> $a_n$ means the "nth" numbered term (so $a_3$ is the 3rd term, $a_{10}$ is the 10th term and so on).

--> $n-1$ is just the "n" in $a_n$ minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> $r = -6$ (Since we got -6 as the constant/common ratio).

--> $a_1 = 7$ (Since 7 is the 1st term)

This means that our formula would be --> $A_n = 7(-6)^{n-1}$

<em>Hope you understood and have a nice day!! :D</em>

8 0

3 years ago

In △MDK, m=16.4, d=22, and k=19. Identify m∠D rounded to the nearest degree. The figure shows triangle M D K. The length of side

Alex_Xolod [135]

The length of the sides,MD, DK, and KM gives the measure of the angle m<D as c) 76°

<h3>Which method can be used to find the measure of angle m<D?</h3>

In triangle ∆MDK, we have;

m = 16.4

d = 22

k = 19

Using cosine rule, we get;

d² = m² + k² - 2•m•k•cos(D)

Therefore;

2•m•k•cos(D) = m² + k² - d²

$D = arccos \left( \frac{ {m}^{2} + {k}^{2} - {d}^{2} }{2 \cdot m \cdot k} \right)$

Which gives;

$D = arccos \left( \frac{ {16.4}^{2} + {19}^{2} - {22}^{2} }{2 \times 16.4 \times 19} \right) \approx {76}^{ \circ}$

m<D = 76°

The correct option is therefore;

c) 76°

Learn more about the rule of cosines here:

brainly.com/question/4316134

#SPJ1

6 0

2 years ago

Help math pls geometry

iren [92.7K]

Answer:

The point is (8,2)

Step-by-step explanation:

Is this a square or rectangle or rhombus, etc.? Yes, because all the lines are all parallel.

Are AB and FG are parallel to each other right? Yes, so that means whatever you do to F will happen to G and we can start on A, it goes 6 down, then two to the right.

Since all lines are parallel how many steps we do on A to get F, we have to do to B to get G. So, (8,2).

Hope this helps!

6 0

3 years ago

Pls give the answer with step by step explanation... :)

Rina8888 [55]

Answer:

Step-by-step explanation:

so you do 1150 x 115% to give you the answer and then you get the answer of that and take away 1150 and you should get your answer

4 0

3 years ago

SOMEONE PLEASE HELP ME ASAP!!!!!!!!!!!!!

PIT_PIT [208]

answer is 10

if not then im srry

4 0

3 years ago