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
xenn [34]
3 years ago
8

What is the number of the terms of geometrical sequence if its first, fourth and the last term is equal to 2, 54 and 486 respect

ively.
Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

The number of terms of the G.P. is 6

Step-by-step explanation:

Let the G.P. has first term a, common ratio r and the number of terms n.

The G.P. has first term 2, so a = 2.

Now, the fourth term is 54 i.e. ar³ = 54

⇒ 2r³ = 54

⇒ r³ = 27

⇒ r = 3

Now, the last term i.e. the nth term is= ar^{n - 1} = 486

⇒ 2 \times 3^{n - 1} = 486

⇒ 3^{n - 1} = 243 = 3^{5}

Hence, (n - 1) = 5

⇒ n = 6

So the number of terms of the G.P. is 6 (Answer)

You might be interested in
Which of the following are even numbers ?
musickatia [10]

Answer:

an even number is a number that is divisible by 2 so there it will be 16 38 44 48 68 84 and 92

3 0
3 years ago
What is true about equivalent fraction
lisabon 2012 [21]
Numerators will be equal after the multiplication.
5 0
3 years ago
PLZZZZZZ HELPPP ME!!!! Which of the following could be used as a justification that 3x^2+10-8 is not prime over the set of ratio
butalik [34]

Answer: the awnser is c

Step-by-step explanation:

8 0
3 years ago
5. Aaron has sewn three square tablecloths of different sizes. He determines the length
victus00 [196]

Answer:

4

Step-by-step explanation:

square root of 18 is 4.2426 so round that and it is 4

8 0
3 years ago
What is 949 rounded to the nearest ten and hundred
myrzilka [38]
Rounded to nearest ten--- 950 Rounded to nearest hundred--- 900 A trick you can use for rounding-------- 5 or more, raise the score; 4 or less, let it rest.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Idk how many ive asked just today
    10·2 answers
  • -3/4*-3/5*-1=<br> pls help asap!!!! i will give brainlynist
    10·1 answer
  • The diagram is a hat box that is designed with the shape of a regular octagon inside and a rectangle outside. Find the value of
    8·1 answer
  • Does the graph represent a function and if so, why?
    12·1 answer
  • A pyramid art installation has a surface area of 24 m2. An artist creates replicas with scale factors of 1/8, 1/10, and 1/12. Wh
    15·1 answer
  • Plz help me with this question
    6·2 answers
  • if tiles cost $1.15 per square feet , how much would cost to tile aa rectangular room that is 13 feet by 15 feet ?
    15·2 answers
  • What is the equation for the line in slope-intercept form?<br> Enter your answer in the box.
    10·1 answer
  • One-third of a cake recipe calls for 3/4 cup of flour. How many cups are needed per recipe?
    7·1 answer
  • Find the length of UW(with a line over it) if W is between U and V, UV = 16.8 centimeters, and VW = 7.9 centimeters.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!