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
Alja [10]
3 years ago
14

the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?

Mathematics
1 answer:
Soloha48 [4]3 years ago
8 0

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

a_n=a(r)^{n-1}

where a is the first term and r is the common ratio.

The 11th term is given is

a_{11}=a(4)^{11-1}

48=a(4)^{10} ------- (1)

The 12th term is given by

192=a(4)^{11} ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

48=a(1048576)

Dividing both sides by 1048576, we get;

\frac{3}{65536}=a

Thus, the value of a is \frac{3}{65536}

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term a_n=a(r)^{n-1}, we get;

a_{10}=\frac{3}{65536}(4)^{10-1}

a_{10}=\frac{3}{65536}(4)^{9}

a_{10}=\frac{3}{65536}(262144)

a_{10}=\frac{786432}{65536}

a_{10}=12

Thus, the 10th term of the sequence is 12.

You might be interested in
Lois and Clark own a company that sells wagons.The amount they pay each of their sales employees (in dollars) is given by the ex
Karolina [17]
12h + 30w represents the amount paid to each employee.....where h is the number of hrs and w is the number of wagons sold.

working 6 hrs and selling 3 wagons.....so h = 6 and w = 3

12h + 30w = total pay
12(6) + 30(3) =
72 + 90 =
162 = total pay <===


8 0
3 years ago
Does a plane have a definite beginning and end?
Lorico [155]
Technically no.  It extends forever in the X and Y axis, but does not have a Z axis.
5 0
3 years ago
Answer ease so confused
Levart [38]

3 - 5 \sqrt{15x}  +  \sqrt{15x}  - 25x \\  \\ 3 - 4 \sqrt{15x}  - 25x
I'm confused too but that what i got
7 0
3 years ago
Which word means changing seasons and mild weather?
Darya [45]

Answer

The answer is climate

3 0
3 years ago
Read 2 more answers
How many different rays can be formed from five collinear points?
spayn [35]

Answer:

I believe that its infinitely

4 0
3 years ago
Read 2 more answers
Other questions:
  • How many ounces is 10491 ounces to pounds?
    6·1 answer
  • E equation 2x + 3y = 36, when y = 6?
    14·1 answer
  • 375 = 3 x 5 x 5 x 5 =
    15·1 answer
  • -6 can be classified as a<br> A. binomials<br> B. monomial<br> C. trinomi
    11·2 answers
  • Can anyone help me with this question
    7·1 answer
  • Select the property of equality used to arrive at the conclusion. If x - 3 = 7, then x = 10
    15·1 answer
  • Is this correct? 3^10 over 3^7 = 3^3
    12·2 answers
  • What is 15 girls to 6 boys as a fraction in simplest form
    14·1 answer
  • The slope of a line can be stated many ways if not put into simplest form.
    12·1 answer
  • Help please... almost done.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!