All categories

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

Help Pls! I need this fast!

lesya [120]

Answer: 36

Step-by-step explanation:

$\overline{AB} \cong \overline{BC}$ (Triangle ABC is isosceles)

$m\angle CAB=m\angle CBA=30^{\circ}$ (base angles of an isosceles triangle are congruent)

$\angle MCB=90^{\circ}$ (In triangle CMB, angles in a triangle add to 180 degrees)

$\angle ACM=30^{\circ}$ (triangle sum theorem)

$MB=24$ (30-60-90 triangle CMB)

$AB=12$ (sides opposite congruent angles in a triangle are congruent)

$AB=36$ (segment addition postulate)

3 0

2 years ago

Simplify (x+3)cubed...do I expand?

Rina8888 [55]

(x + 3)^3 = (x + 3)(x + 3)(x + 3) = (x + 3)(x^2 + 6x + 9) = x^3 + 9x^2 + 27x + 27

3 0

3 years ago

PLS ANSWER: What is the monomial if a cube of a monomial is: 1/8 a^27

Katarina [22]

Answer:

$\frac{a^{9} }{2}$

Step-by-step explanation:

A monomial is a type of polynomial that has only one term and when there are two terms in the polynomial then it is called binomial.

Say for example (ax) is a monomial and (ax + b) is a binomial.

In our case the cube of a monomial is $\frac{a^{27} }{8}$

Therefore, the monomial will be $\sqrt[3]{\frac{a^{27} }{8}} =\frac{a^{9} }{2}$ (Answer)

6 0

3 years ago

Maria would like to leave a tip (t) of at least 15% of her dinner bill (b). Which inequality best could be used to find the amou

mr_godi [17]

First let's define the variables of the problem:
t: Tip
b: dinner bill.
We write the inequality based on the following proposition:
"Maria would like to leave a tip (t) of at least 15% of her dinner bill (b)"
We have then that the inequation is:
t> = 0.15b
Answer:
An inequality best could be used to find the amount of the tip Maria would like to leave is:
t> = 0.15b

3 0

3 years ago

Pls help it due soon <br> Show workings!

mel-nik [20]

Answer:

Step-by-step explanation:

So the triangle rule is that the 2 smaller sides of a triangle have to have a greater sum than the largest side.

I answer a 1+2 has to be greater than 3 and its not therefore A is the answer

3 0

3 years ago