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goblinko [34]
3 years ago
7

The first term of a geometric sequence is 6 and the common ratio is -4 find the 6th term

Mathematics
1 answer:
mart [117]3 years ago
6 0
R = - 4
t1 = 6

tn = a1*r^(n - 1)
t6 = 6 * (-4)^(6 - 1)
t6 = 6 * (-4)^5
t6 = 6 * (-1024)
t6 = -6144
You might be interested in
Find the solution set of the inequality:<br> -3x + 8 &lt; 15
telo118 [61]

Hello from MrBillDoesMath!

Answer:

x > -7/3

Discussion:

-3x + 8 < 15                             => add 3x to both sides

(-3x + 3x) + 8 < 15 + 3x          => (-3x + 3x) = 0

8 < 15 + 3x                              => subtract 15 from both sides

8-15 < 3x                                 => 8 - 15 = -7

-7 < 3x                                     => divide both sides by 3

-7/3 < x

Thank You,

MrB

7 0
3 years ago
WILL GIVE BRAINIEST ANSWER IF ANSWER IS CORRECT
IRISSAK [1]
F(x) = x+4
f(4) = 8, f(5) = 9
Change = 1

f(x) = 3x-7
f(-3) = -16, f(5) = 8
Change = 24/8 = 3

f(x) = 9x+1
f(-5) = -44, f(-2) = -17
Change = 27/3 = 9

f(x) = 2x+9
f(1) = 11, f(2) = 13
Change = 2

In order: f(x) = 9x+1, f(x) = 3x-7, f(x) = 2x+9, f(x) = x+4
4 0
2 years ago
Read 2 more answers
What is x- 2 1/2 = 6 3/4. pls help
MAXImum [283]
X= 9 1/4 or 9.25 in decimal form
8 0
2 years ago
Read 2 more answers
Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
List the transformations of the function<br> j(x) = 3(-7(x+2))-4
allsm [11]

Answer:

transformations of function 3(-7(x+2))-4

  • vertical stretch
  • horizontal compression
  • translates left
  • translates down
  • reflection across y-axis
8 0
3 years ago
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