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3 years ago

Which sequence is modeled by the graph below?

1 answer:

5 0

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

You might be interested in

Which basic trigonometric identity would you use to verify that tan x cos x =sin x

True [87]

Answer:

$\huge\boxed{\tan x=\dfrac{\sin x}{\cos x}}$

Step-by-step explanation:

$\tan x\cos x=\sin x\\\\\tan x=\dfrac{\sin x}{\cos x}\\\\\text{Therefore}\\\\\tan x\cos x=\dfrac{\sin x}{\cos x}\cdot\cos x\qquad\text{cancel}\ \cos x\\\\\tan x\cos x=\sin x\\\\\text{For}\ x\neq\dfrac{\pi}{2}+k\pi},\ k\in\mathbb{Z}$

7 0

3 years ago

If the area of a rectangle is 144 sq. in. and the length of one side is 18in. what is the length of the other side?

navik [9.2K]

Hello from MrBillDoesMath!

Answer: The other side has a length of 8

Discussion:

Area of a rectangle = l * w ( length times width). In our case

Area = 144 = l * w = 18 * w =>

18 w = 144 =>

w = 144/18 = 8

Thank you,

MrB

8 0

3 years ago

By selling old CD Sarah has a store credit of $153 a new CD cost $18 what are the problem numbers of new cCD Sarah can buy

DiKsa [7]

Rileyflipflop, $\frac{153}{18}$ = 8 $\frac{1}{2}$ , since she can't buy half a CD, she's limited to no more than 8 CDs. If x = the cost of one CD, then x CDs cost $18x. Since we are limited to $153, our equation looks like... 18x < 153x < 8 $\frac{1}{2}$ Again, since we can't buy half a CD, your answer should actually be... x ≤ 8 since we can buy 8 CDs or fewer.

4 0

3 years ago

Work out the angle of elevation from the

insens350 [35]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:Angle \:\: of \:\: elevation= 30°$

____________________________________

$\large \tt Solution \: :$

Let the angle of elevation be " x "

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{9 \sqrt{3} }{18}$

$\qquad \tt \rightarrow \: \cos(x) = \dfrac{ \sqrt{3} }{2}$

$\qquad \tt \rightarrow \: x = \cos {}^{ - 1} \bigg( \cfrac{ \sqrt{3} }{2} \bigg )$

$\qquad \tt \rightarrow \: x = 30 \degree \: \: or \: \: \cfrac{ \pi}{6} \: \: rad$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

8 0

2 years ago

Read 2 more answers

Simplify the following expression 5^2-4/5+2

oee [108]

If <span>(5^2-4) / (5+2) then
=(25 - 4 )/3
= 21/3
= 7

if 4/5 fraction then
</span><span>5^2-4/5+2
= 25 - 4/5 + 2
= 27 - 4/5
= 26 5/5 - 4/5
= 26 1/5
= 26.2</span>

6 0

3 years ago

Read 2 more answers