All categories

2 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics

1 answer:

saveliy_v [14]2 years ago

5 0

Answer:

a7 ≈ 1.068

Step-by-step explanation:

The given sequence has a common ratio, so is a geometric sequence. The formula for a generic term can be used to find the 7th term.

<h3>Sequence</h3>

The first term is 6. The common ratio is ...

r = (9/2)/6 = (27/8)/(9/2) = 3/4

The n-th term is ...

an = a1(r^(n-1))

<h3>Application</h3>

The 7th term is ...

a7 = 6(3/4)^(7-1) = 6(729/4096) = 2187/2048

a7 ≈ 1.068

You might be interested in

Given right triangle ABC. To the nearest degree, find the measure of angle B.

DedPeter [7]

Answer:

Step-by-step explanation:

We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.

sin(B) = side opposite / hypotenuse:

$sin(B)= \frac{ 4.8}{ 5.1}$ so

sin(B) = .9411764706

Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:

$sin^{-1 ($

Enter that decimal after the open parenthesis and hit "enter" to get

B = 70.25 or 70°

4 0

3 years ago

If the diagonal of the rectangle is 10.5 inches and the length of the rectangle is 7.25 inches, what is the width of the rectang

o-na [289]

Answer:3.75

Step-by-step explanation:

6 0

2 years ago

(a2 − 6) and (a2 + 4) are the factors of

sleet_krkn [62]

(a²-6)(a²-4) simplify

a⁴-4a²-6a²+24

Combine like terms

a⁴-10a²+24

8 0

3 years ago

A bag contains 2 oranges, 3 grapefruits, and 1 tangerine. A piece of fruit is chosen from the bag at random. What is the probabi

Lesechka [4]

Answer:

50%

Step-by-step explanation:

The probability of picking a grapefruit is the amount of grapefruits over the amount of total fruit. There are 3 grapefruits, and 6 total pieces of fruit. 3/6 is equal to 1/2, so the probability is 1/2 or 0.5 or 50%.

3 0

4 years ago

Read 2 more answers

Evaluate 7C3<br> OA) 25<br> O B) 45<br> OC) 35<br> OD) 20

SpyIntel [72]

Answer:

C) 35

Step-by-step explanation:

$^7C_3 \\ = \frac{7!}{3!(7 - 3)!} \\= \frac{7!}{3! \: 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = \frac{7 \times 6 \times 5 \times 4!}{3 \times 2 \times 1 \times 4!} \\ = 35 \\ \huge \red{ \boxed{ \therefore \: ^7C_3 = 35}}$

8 0

3 years ago

Read 2 more answers