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3 years ago

15

Given a term in a geometric sequence and the common ratio find the first five terms and the formula representing the nth term. A

1 = 4, r = 5

2 answers:

Dafna1 [17]3 years ago

5 0

It is the last choice on this paper

alexira [117]3 years ago

3 0

what was the reall answer? I could use bit of help!

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Describe what a vaccine is made of and how it helps prevent infection.

12345 [234]

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

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6 0

3 years ago

A copy machine makes 28 copies per minute. How many copies does it make in 3 minutes and 45 seconds?

lina2011 [118]

<u>Convert minutes and seconds to minutes:</u>
$\text{3 mins 45 seconds} \longrightarrow 3 \dfrac{3}{4} \text{mins}$

<u>FInd 3 3/4 mins:</u>
$\text{1 min} \longrightarrow 28 \text{ copies}$

$3 \dfrac{3}{4} \text{ min} \longrightarrow 28 \times 3\dfrac{3}{4} \text{ copies}$

$3 \dfrac{3}{4} \text{ min} \longrightarrow 28 \times \dfrac{15}{4} \text{ copies}$

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Answer: It can make 105 copies.

4 0

3 years ago

Write an equation that is perpendicular to y= 1/2x+5 and passes through (4,8)

goblinko [34]

Answer:

y = -2x + 16.

Step-by-step explanation:

The slope of the perpendicular line = -1 / slope of the given line

= -1 / 1/2 = -2.

Using the point slope form of the equation of a straight line:

y - y1 = m (x - x1)

y - 8 = -2(x - 4)

y - 8 = -2x + 8

y = -2x + 16 is the required equation.

4 0

3 years ago

The scale factor of the blueprint of a gymnasium to the actual gymnasium is 1in/15ft. The area of the flow on the blueprint is 1

stira [4]

1/15=144/x
Cross multiply
X=2,160

Gymnasium=2,160 ft2

3 0

3 years ago

Read 2 more answers

Question 2 of 5

AlekseyPX

Given:

The different recursive formulae.

To find:

The explicit formulae for the given recursive formulae.

Solution:

The recursive formula of an arithmetic sequence is $f(n)=f(n-1)+d, f(1)=a,n\geq 2$ and the explicit formula is $f(n)=a+(n-1)d$ , where a is the first term and d is the common difference.

The recursive formula of a geometric sequence is $f(n)=rf(n-1), f(1)=a,n\geq 2$ and the explicit formula is $f(n)=ar^{n-1}$ , where a is the first term and r is the common ratio.

The first recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+5$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 5. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(5)$

$f(n)=5+5(n-1)$

Therefore, the correct option is A, i.e., $f(n)=5+5(n-1)$ .

The second recursive formula is:

$f(1)=5$

$f(n)=3f(n-1)$ for $n\geq 2$ .

It is the recursive formula of a geometric sequence with first term 5 and common ratio 3. So, the explicit formula for this recursive formula is:

$f(n)=5(3)^{n-1}$

Therefore, the correct option is F, i.e., $f(n)=5(3)^{n-1}$ .

The third recursive formula is:

$f(1)=5$

$f(n)=f(n-1)+3$ for $n\geq 2$ .

It is the recursive formula of an arithmetic sequence with first term 5 and common difference 3. So, the explicit formula for this recursive formula is:

$f(n)=5+(n-1)(3)$

$f(n)=5+3(n-1)$

Therefore, the correct option is D, i.e., $f(n)=5+3(n-1)$ .

6 0

3 years ago

Read 2 more answers