Help help help help

Find the first four terms of the sequence<br> An=2a n-1,where a1=3

yKpoI14uk [10]

The first four terms of the sequence are 3 , 6 , 12 , 24

Step-by-step explanation:

We need to find the first four terms of the sequence $a_{n}=2a_{n-1}$

where $a_{1}=3$ to find them do that

Substitute n by 2 in the rule to find $a_{2}$
Substitute n by 3 in the rule to find $a_{3}$
Substitute n by 4 in the rule to find $a_{4}$

∵ $a_{n}=2a_{n-1}$

- Substitute n by 2 to find the 2nd term

∴ $a_{2}=2a_{2-1}$

∴ $a_{2}=2a_{1}$

∵ $a_{1}=3$

∴ $a_{2}=2(3)$

∴ $a_{2}=6$

- Substitute n by 3 to find the 3rd term

∴ $a_{3}=2a_{3-1}$

∴ $a_{3}=2a_{2}$

∵ $a_{2}=6$

∴ $a_{3}=2(6)$

∴ $a_{3}=12$

- Substitute n by 4 to find the 4th term

∴ $a_{4}=2a_{4-1}$

∴ $a_{4}=2a_{3}$

∵ $a_{3}=12$

∴ $a_{4}=2(12)$

∴ $a_{4}=24$

The first four terms of the sequence are 3 , 6 , 12 , 24

Learn more:

You can learn more about the sequences in brainly.com/question/1522572

#LearnwithBrainly

3 0

3 years ago

Explain what each of the following sample correlation coefficients tells you about the relationship between the x and y values i

Alchen [17]

Answer: The description are as follows:

Step-by-step explanation:

Correlation coefficients is a statistical measure that measures the relationship between the two variables.

(a) r = 1, it means that there is a Perfect positive relationship between the two variables. If there is positive increase in one variable then other variable also increases with a fixed proportion.

(b) r = -1, it means that there is a perfect negative relationship between the two variables. If there is positive increase in one variable then other variable decreases with a fixed proportion.

(c) r = 0, this is a situation which shows that there is no relationship between the two variables.

(d) r = 0.86, this is a situation which shows that there is a fairly strong positive relationship between the two variables.

(e) r = 0.06, it is nearly zero which represents that either there is a very minor positive relationship between the two variables or there is no relationship between them.

(f) r = -0.89, this is a situation which shows that there is a fairly strong negative relationship between the two variables.

6 0

3 years ago

Juan ramirez sells suits in a major department store on weekends he Ernst a commission of 5 percent on the first ten suits and h

romanna [79]

Answer:

$185

Step-by-step explanation:

The first ten suits sold for 10×$250 = $2,500

commission = 5% of $2,500 = 0.05×$2,500 = $125

The next three suits sold for 3×$250 = $750

commission = 8% of $750 = 0.08×$750 = $60

Total commissions = $125+$60 = $185

There are several errors in the question. If you are using voice recognition, you are better off typing the question manually.

5 0

2 years ago

a plane intersects a prism parallel to the base of the prism. the cross section is a polygon with eight sides. The base of the p

luda_lava [24]

Eight sides, hope this helps!

6 0

2 years ago

Read 2 more answers

(PLS HURRY ASAP 100 POINTS)

Sophie [7]

Answer:

D) 0.3125

====================

Total number of outcomes is 16, count of all outcomes.

Number of outcomes with 3 or more tiles is 5:

HTTT, THTT, TTHT, TTTH, TTTT

The probability is:

P = favorable outcomes / total outcomes
P(at least 3 tails) = 5/16 = 0.3125

Correct choice is D.

6 0

1 year ago