Mathematics : asked on spdesch2558

28.03.2020

Find the recursive definition for this sequence
2,6,18,54,162

0

Step-by-step answer

24.06.2023, solved by verified expert

Bhaskar Singh Bora

Mathematics, Physics. Q&A Expert

24 220 answers

Unlock the full answer

3 students found this answer

Each number is multiplied by 3 to get to the next. Think about how you get from the number to the next, and so on.

It is was helpful?

Helpful Useless

Faq

Mathematics

Find the recursive definition for this sequence 2,6,18,54,162

Step-by-step answer

P Answered by PhD

3

Each number is multiplied by 3 to get to the next. Think about how you get from the number to the next, and so on.

Mathematics

Recursive & Explicit Definitions Consider the sequence: 2, 6, 18, 54, 162, Determine the 15th term of the sequence. 9.565,938 3,188,646 2.430 28.597,814

Step-by-step answer

P Answered by Master

$T_{15} = 9565938$

Step-by-step explanation:

Given

Sequence: 2, 6, 18, 54, 162,

Required

Determine the 15th term

The above sequence is a geometric sequence. So, first, we calculate the common ratio (r)

$r = \frac{T_2}{T_1}$

$r = \frac{6}{2}$

r = 3

The 15th term is calculated as thus:

$T_n = ar^{n-1}$

Where

a = 2 and n = 15

$T_n = 2 * 3^{15-1}$

$T_n = 2 * 3^{14}$

$T_{15} = 2 * 4782969$

$T_{15} = 9565938$

The 15th term is 9,565,938

Mathematics

Recursive & Explicit Definitions Consider the sequence: 2, 6, 18, 54, 162, Determine the 15th term of the sequence. 9.565,938 3,188,646 2.430 28.597,814

Step-by-step answer

P Answered by Specialist

$T_{15} = 9565938$

Step-by-step explanation:

Given

Sequence: 2, 6, 18, 54, 162,

Required

Determine the 15th term

The above sequence is a geometric sequence. So, first, we calculate the common ratio (r)

$r = \frac{T_2}{T_1}$

$r = \frac{6}{2}$

r = 3

The 15th term is calculated as thus:

$T_n = ar^{n-1}$

Where

a = 2 and n = 15

$T_n = 2 * 3^{15-1}$

$T_n = 2 * 3^{14}$

$T_{15} = 2 * 4782969$

$T_{15} = 9565938$

The 15th term is 9,565,938

Mathematics

Imran is paid ?286 per week Every week he puts 20% of his wage into a savings account How much does he put into his savings each week

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

Deanna gets 3 problems incorrect on a math quiz. Her score is 85%. How many questions are on the quiz?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

Mathematics

In a parking lot, for every 8 cars there are 7 trucks. What is the ratio of cars to trucks? A)7 : 8 B)8 : 7 C)8 : 15 D)15 : 8

Step-by-step answer

P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics

The value of a collectible coin can be represented by the equation y = 2 x + 15, where x represents its age in years and y represents its total value in dollars. What is the value of the coin after 19 years? $2 $23 $38 $53

Step-by-step answer

P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics

Use the X method to find the solutions of6x2 + 2x – 20 = 0.

Step-by-step answer

P Answered by PhD

The answer is in the image

The answer is in the image

free Ask question

Today we have helped

289 students

just now

Mathematics

The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B

p Answered by PhD

just now

Mathematics

A tram has an initial velocity of 300m/minute ◦ It travels a distance of 0.5km in 20 seconds ◦ What is the acceleration of the tram in m/s2?
If you could please help me, it would be greatly appreciated?

p Answered by PhD

1 minute ago

History

What doctrine of rights did both the "no incorporation" justices and the "plus incorporation" justices use to expand the notion of legal rights? A. the constitutional protection of the writ of habeas corpus

B. the list of specific rights named in the Bill of Rights

C. natural rights built on the very concept of "ordered liberty"

D. the unalienable rights defined by John Locke: life, liberty, and property

m Answered by Master

1 minute ago

Mathematics

A painter bought 14 gallons of paint just enough to cover 2 room

m Answered by Master

2 minutes ago

Mathematics

Please tell me the mean median and mode of
82, 78, 82, 80, 100, 96, 75, 91

m Answered by Master

Get help with homework

What is Studen

Studen helps you with homework in two ways:

Our base includes complete solutions from various experts

chat

Leave a question

Studen will automatically choose an expert for you.

directly

We have more than 5 000 verified experienced expert