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
Vadim26 [7]
2 years ago
11

If the first terms of geometric sequence are 3 and 9 what could be the next two numbers

Mathematics
1 answer:
tiny-mole [99]2 years ago
6 0

The next two numbers of the geometric sequence will be 27 , 81.

Geometric Sequence or Geometric Progression is defined as a sequence where every term is multiplied by a constant fixed number to get the next term except the first term.

For Example ; 2,6,18,54,.....  This is a Geometric sequence as every next term except the first term is multiplied with 3.

Geometric Sequence is denoted by a,ar,ar^{2} ,ar^{3} ,.....

Its general term is denoted by a_{n} =a.r^{n-1}, where a is the first term

r is the common ratio

n is the number of term in the sequence.

According to the given question

given the first two term = 3,9

So   a=3     …..(1)

next we need common ratio "r" for this we divide second term by first term .

that is \frac{a_{2} }{a_{1} }.

r=9/3

r=3.

The next term of the sequence will be third and fourth term i.e. a_{3} ,a_{4}.

a_{3} =a*r^{3-1}       ( using general formula for GP)

Substituting the value as a=3 and r=3

a_{3} =3^{3} \\ \\ a_{3} =27

Now

a_{4} =a*r^{4-1}

Substituting the value as a=3 and r=3

a_{4} =3*3^{3}

a_{4} =3^{4}\\ \\ a_{4} =81

Therefore , The next two numbers of the geometric sequence will be 27 , 81.

learn more about Geometric Sequence here brainly.com/question/16549240

#SPJ4

You might be interested in
Find the difference between the sum of all even numbers and the sum of all odd numbers from 0 through 1000
Anna007 [38]
The sum is 500 because 1000 split betwwen even and odds are even making 500
3 0
3 years ago
The measure of angle FHJ is 60,the measure of angle FGH is 28 what is the measure of angle HFG
iren2701 [21]

Answer:

92

Step-by-step explanation:

5 0
3 years ago
Which of the following best describes perpendicular lines?
WARRIOR [948]
I think that your answer would be B) lines that meet at a 90 degree angle. These lines must intersect, and they have slopes that are opposite reciprocals when compared to each other.
8 0
3 years ago
Read 2 more answers
PICK ONE OF THE FOLLOWING (imagine added)
Gala2k [10]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Which of the following sequences is not arithmetic
MA_775_DIABLO [31]

Answer:

1,4,9,16...

Step-by-step explanation:

It does not have a common difference between each consecutive term, therefore it is not an arithmetic sequence.

8 0
2 years ago
Other questions:
  • To convert centimeters to inches, we multiply the measurement in centimeters by 2.54. Identify the type of relation between cent
    14·1 answer
  • Evaluate 6 + 4/a + b/3 when a=4 and b=3
    9·1 answer
  • You have a 20 % total purchase coupon . You total is $134.22 if you use the coupon what does your total is $134.22 if you use th
    12·1 answer
  • Charles is going to purchase a new car that has a list price of $21,450. He is planning on trading in his good-condition 2004 Do
    9·1 answer
  • Solve x(−2)3=−2(5). The solution is x=
    11·1 answer
  • Please help what’s the answer
    15·2 answers
  • Find the exact perimeter of quadrilateral ABCD plotted below. A-3,2) B(6,-2) D(0,-6) C(3.-6)​
    6·2 answers
  • Hiii!! I need help with these two questions (will put brainliest) TY
    13·1 answer
  • Evaluate the expression y2 when y=2.5 .
    7·1 answer
  • For the following right triangle, find the side length x
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!