1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Naddik [55]
3 years ago
6

What are the next three terms in the pattern 2, 6, 18, 54, ...?

Mathematics
2 answers:
castortr0y [4]3 years ago
8 0

Answer:

OPTION B: 162, 486, 1458

Step-by-step explanation:

The given sequence is 2, 6, 18, 54, . . .

It is a geometric sequence and the common difference is 3.

The general form of a geometric sequence is: a, ar, ar², ar³, . . .

Here a = 2 and r = 3.

$ n^{th} $ term of a Geometric progression is $ ar^{n - 1} $.

Note that the fourth term is 54.

i.e., $ ar^3 = 54 $

$ \implies ar^4 = ar^3 . r = 54 . 3 = 162 $.

Similarly, $ ar^6 = 162 \times 3 = 486 $.

Also, $ ar^7 = ar^6 . r = 486 \times 3 = 1458 $.

Hence, OPTION B is the answer.

Elden [556K]3 years ago
7 0

Answer:

B

Step-by-step explanation:

You might be interested in
Toms son works in a sports store.Toms son earns a commision. He makes 2.5% of the amount he sells. Last week he sold $900 worth
siniylev [52]

Answer:

22.5

Step-by-step explanation:

2.5/100= 0.0250

0.025 x 900 = 22.5

5 0
3 years ago
R is the midpoint of QS, if QR=2x and RS=x+3, what is RS?
lbvjy [14]
Q -------------R------------S

suppose this is your line,

R is the mid point

and it's given that

QR = 2x
and
RS = x+3

as R is the mid point of QS
so,
QR = RS
then,
2x = x + 3
2x - x =3
x = 3


as,
it's given that RS = x + 3
then,
RS = 3 + 3
= 6 units.

5 0
3 years ago
4(x-11)^2=25
netineya [11]
Expand the square: 4(x-11)^ =25
4(x-11)(x-11)=25

Distribute : 4(x-11)(x-11)=25
4(x(x-11)-11(x-11))=25

Distribute: 4(x(x-11)-11(x-11))=25
4(x^-11x-11(x-11))=25

Solution: x=17/2
x=27/2

hope that helps
8 0
3 years ago
Which value of gg makes 26=7(g-9)+ 12 a true statement?
Nezavi [6.7K]
G=11 you add all the numbers together to get the correct number
3 0
3 years ago
What is the value of x in the equation 7x+2v =48 when y =3​
Phantasy [73]

Answer:

3 3/7

Step-by-step explanation:

7x+2v=48

2v. -2

-------

46

7x+46=48

-46. -46

---------------------

7x=2/7. x=2/7=1/7

x=1/7

4 0
3 years ago
Read 2 more answers
Other questions:
  • Use the unit price to find the total price. 9 gallons at $1.92 per gallon
    6·2 answers
  • What's the answer to this problem
    12·1 answer
  • 27 × 8 ÷ 2 = ??? Step by step
    11·1 answer
  • Im stuck on my homework plz help
    6·2 answers
  • Raise <br> w<br> to the 3rd <br> power,<br> then subtract the result from <br> v
    13·1 answer
  • What is the formula (equation) for momentum?
    6·2 answers
  • The selling price of a refrigerator is $948.75. If the markup is 25% of the dealer's cost, what is the dealer's cost of the refr
    12·1 answer
  • A rental car agency charges $12 per day plus 14 cents per mile to rent a certain car. Another agency charges $15
    12·1 answer
  • Brainles!! A patient drank 6 ounces of juice, 3 cups of water, and a half pink of
    8·1 answer
  • Divide 3x2 − 11x − 4 by x − 4.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!