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3 years ago

I have some geometric sequence questions, will give 5 points for every answer and will give Brainliest!

Mathematics

1 answer:

kherson [118]3 years ago

5 0

Answer:

Step-by-step explanation:

1) since the sixth term is 3 and the fifth term 24, the common ratio would be 3/24 = 1/8

The formula for finding the nth term of a geometric sequence is

Tn = ar^(n - 1)

If t6 = 3,r = 1/8, then

3 = a × 1/8^(6 - 1) = a × (1/8)^5

a = 3/(0.125)^5 = 98304

The first term is 98304.

Second term is 98304 × 1/8 = 12288

Third term is 12288 × 1/8 = 1536

Third term is 1536 × 1/8 = 192

2) t1 = 4

t2 = - 3t(2- 1) = - 3t1 = - 3 × 4 = - 12

t3 = - 3t(3- 1) = - 3t2 = - 3 × - 12 = 36

t4 = - 3t(4- 1) = - 3t3 = - 3 × 36 = - 108

3) let the numbers be t2,t3 and t4

The sequence becomes

1/2, t2,t3, t4,8

The formula for finding the nth term of a geometric sequence is

Tn = ar^(n - 1)

8 = 1/2 × r^(5 - 1)

8 = 1/2 × r^4

16 = r^4

2^4 = r^4

r = 2

t2 = 1/2 × 2 = 1

t3 = 1 × 2 = 2

t4 = 2 × 2 = 4

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What does (2m + 7) - (3 - 4m) equal

yaroslaw [1]

(2m + 7) - (3 - 4m) = 2m + 7 - 3 + 4m = (2m + 4m) + (7 - 3)

= <u>6m + 4</u>

5 0

3 years ago

Find the volume of this figure to the nearest whole number. Use 3.14 for pi.

sukhopar [10]

Answer:

≈ 1800 mm³

Step-by-step explanation:

Volume of the figure above will be given by the formula

Cross section area × length

In this case;

Cross section area will be;

Area of the square + area of the two semi circles

12× 12 + 2(3.14 × 6 ×6/2)

= 144 + 3.14 ×36

= 257.04 mm²

Volume = Cross section area × Length

= 257.04 × 7

= 1799.28 mm³

<u> ≈ 1800 mm³</u>

3 0

3 years ago

Noah gathered data at his school among 7th and 8th graders to see if there was an association between grade level and handedness

mash [69]

Answer: 4) 157

Step-by-step explanation:

We know that there is no association between the grade level and the andedness, then we should find that the ratio between left handeds and right handed is the same for both grades.

In 7-th grade we have:

Left handed : 11

Right handed: 72

The ratio is 11/72 = 0.14

Then, the ratio for the 8-th graders must be about the same:

Left handed: 24

Right handed: X

Ratio: 24/X

Let's start with the bigger option, X = 157.

24/157 = 0.15

Ok, we now see that with the bigger option we obtained almost the same ratio (if we use the smaller values for X, we will get a ratio bigger than 0.15, so 0.15 is the better aproximation that we can find to the 0.14 of the 7-th graders)

Then the correct option is 4) 157

4 0

3 years ago

In rectangle ABCD, AB=8 units and BC=15 units. Find BD

BabaBlast [244]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per mi

miss Akunina [59]

Answer:

Mean = 0, Standard deviation = 1

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 77.5 beats per minute

Standard Deviation, σ = 11.6 beats per minute

We are given that the distribution of pulse rates of women is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Putting the values, we get,

$z_{score} = \displaystyle\frac{x-77.5}{11.6}$

After, the standardization, that is conversion of all pulse rates of women to z scores, the mean of the distribution is 0 and standard deviation is 1.

Mean = 0, Standard deviation = 1

7 0

3 years ago