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
iris [78.8K]
3 years ago
5

What is the 9th term of the following geometric sequence? 7/9,-7/3,7,-21,63 ??????

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Given:

The geometric sequence is:

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

To find:

The 9th term of the given geometric sequence.

Solution:

We have,

\dfrac{7}{9},\dfrac{-7}{3},7,-21,63,...

Here, the first term is:

a=\dfrac{7}{9}

The common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{\dfrac{-7}{3}}{\dfrac{7}{9}}

r=\dfrac{-7}{3}\times \dfrac{9}{7}

r=-3

The nth term of a geometric sequence is:

a_n=ar^{n-1}

Where, a is the first term and r is the common ratio.

Substitute a=\dfrac{7}{9},r=-3,n=9 to find the 9th term.

a_9=\dfrac{7}{9}(-3)^{9-1}

a_9=\dfrac{7}{9}(-3)^{8}

a_9=\dfrac{7}{9}(6561)

a_9=5103

Therefore, the 9th term of the given geometric sequence is 5103.

You might be interested in
What is the poinet-slope form of the equation for the line in the graph?​
Ne4ueva [31]

Answer:

y -5 = \frac{9}{13}(x - 7)

Step-by-step explanation:

Given :

Two points are given in graph (-6, -4) and {7, 5).

The point-slope form of the equation of a straight line is:

y -y_{1} = m(x - x_{1})------------(1)

Let (x_{1}, y_{1})=(7,5) and (x_{2}, y_{2})=(-6,-4)

The slope of the line m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}

Put all known value in above equation.

m=\frac{-4- 5}{-6- 7}

m=\frac{-9}{-13}

m=\frac{9}{13}

The slope of the line m=\frac{9}{13}

We know m, and also know that (x_{1}, y_{1})=(7,5), so we put these value in equation 1.

y -5 = \frac{9}{13}(x - 7)

Therefore, the equation of the line is y -5 = \frac{9}{13}(x - 7).

6 0
3 years ago
PLEASAE HELp
Reika [66]

Answer:

The answer to your question is the second and the last choices.

Step-by-step explanation:

Process

1.- In the first step v₀t  subtract d and the result is

                            d - v₀t = at²/2

2.- In the second step, 2 multiply (d - v₀t), and the result is

                           2(d - v₀t) = at²

3.- In the third step t² divide 2(d - v₀t), and the result is

                           a = [2(d - v₀t)]/t²

5 0
3 years ago
(x) = 3x + 5, what is the value of f (5)?
borishaifa [10]

Answer:

the answer is 20 .put the 5 in place of x                                                                          

and u always remember that f(5) =f(x)

Step-by-step explanation:

4 0
3 years ago
Hannah uses a store gift card to pay for 3 pair of pants priced at $27 each. What is the change in
kicyunya [14]

Answer:

If the gift card is $30 the remaining change is 3 dollars

5 0
4 years ago
Please Help! <br><br><br><br> Solve for the variable.<br><br> 12.5 = y - 1.25 <br><br> .
Rom4ik [11]

Your answer is y = 13.75

5 0
3 years ago
Other questions:
  • ∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132°, what i
    12·1 answer
  • Use the graph below to fill in the blank with the correct number:<br><br> f(1) = _______
    8·1 answer
  • LOTS OF POINTS - SIMPLE MATH
    14·1 answer
  • What is the Area of this composite polygon
    9·1 answer
  • PLEASE HELP ANSWER THISS!!! I NEED THIS PLEASE!!! AND NO LINKS EITHER PLSS!!
    14·1 answer
  • PLEASE HELP!!!!!!!! :))))))))
    14·1 answer
  • Simplify the expression 5√36^2.5​
    8·1 answer
  • Write the equations of the line that passes through the point (4,3) and is parallel to the line y=2x−4 . Write the equation in s
    13·1 answer
  • Can you guys help me wit number 7 please nn thanks
    13·1 answer
  • Write an equivalent expression for 3(4x+2y)+5​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!