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
marta [7]
2 years ago
9

In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if i

t exists, and if possible find the sixth term. 3a, 3a2b, 3a3b2, 3a4b3. . .
Mathematics
1 answer:
levacccp [35]2 years ago
8 0
The sequence is given as follow
3a,3 a^{2}b,3 a^{3} b^{2} , 3 a^{4} b^{3}

When finding the pattern of a sequence, we can try to work out whether there is a common difference or a common ratio between each term. We try by finding a common ratio

\frac{3 a^{2}b }{3a} =ab
\frac{3 a^{3 b^{2} } }{3 a^{2}b }=ab
\frac{3 a^{4} b^{3} }{3 a^{3} b^{2} }=ab

The term to term rule is multiplied by ab

The 5^{th} term is given 3 a ^{4} b^{3}×ab=3 a^{5} b^{4}

The 6^{th} term is given by 3 a^{5} b^{4}×ab=3 a^{6}  b^{5}


You might be interested in
Use the net as an aid to compute the surface area of a triangle pyramid with an equilateral triangle base
murzikaleks [220]

Answer:

106 ft 2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A laboratory technician can clean 34 pipettes every hour with an automatic washer. How many can he clean in 12 minutes? (Hint: B
Semmy [17]

Answer:

7

Step-by-step explanation:

you can do a ratio where you have 34 over 60 then cross multiply that ratio with x over 12 and 60x=408 and it equals 6.8 but I am assuming you have to round up.

7 0
2 years ago
Read 2 more answers
Need help on this
Stolb23 [73]
15.12m2 just finished the test
4 0
2 years ago
What is the radius of a cylinder with 490picm^3 of volume and 10 cm of height
Sholpan [36]
V = pi*r^2*h
V = 490
h = 10
490 = pi*r^2*10
r = 3.95
7 0
3 years ago
What is equal to 6 ft 12 inches
Andru [333]

Answer:

7 ft or 72 inches

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • 2a + 6 = 6<br> 2a =<br> Subtract 6 from both sides<br> Divide both sides by 2
    12·1 answer
  • How many tearms are in each factor of this expression 5(6+4x)
    5·1 answer
  • Which equation is the inverse of y=2x^2-8
    10·2 answers
  • How is finding the factors of a number different from finding the prime factorization of a number
    14·2 answers
  • Jimmy invests $15,000 in an account that pays 8.90% compounded quarterly. How long (in years and months) will it take for his in
    7·1 answer
  • What's the value of 10x3
    9·2 answers
  • 5 (2x-4)-3 (x-2)=4x-2
    12·1 answer
  • Which is bigger, one fourth of 16 or one third of 24?
    12·2 answers
  • Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. If the friends spen
    12·1 answer
  • The circumference of a circle is 6π m. What is the area, in square meters?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!