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3 years ago

What is the next term of the geometric sequence? 4/9,-4/3,4,...

Mathematics

2 answers:

Wittaler [7]3 years ago

6 0

Answer: 9 is the answer

Step-by-step explanation:

Gnesinka [82]3 years ago

3 0

Answer:

- 12

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

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gives the next term. In other words,

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Geometric Sequence:

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This is the form of a geometric sequence.

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Substitute in the values of

and

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)

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(

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)

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Combine

and

(

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)

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(

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)

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Substitute in the value of

to find the

th term.

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)

(

)

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Simplify the numerator.

Tap for more steps...

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Simplify the expression.

Tap for more steps...

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Guys please help me out ASAP, Due today. I

Mice21 [21]

Answer:

$T_7 = 11$

$T_n = 2n- 3$

Step-by-step explanation:

Given

$S_n = n^2 -2n$

$T_n = S_n - S_{n-1}$

Solving (a): T7

Substitute 7 for n in $T_n = S_n - S_{n-1}$

$T_7 = S_7 - S_{7-1}$

$T_7 = S_7 - S_6$

Calculate S7 and S6

$S_n = n^2 -2n$

$S_7 = 7^2 - 2 * 7 = 35$

$S_6 = 6^2 - 2 * 6 = 24$

So:

$T_7 = 35 -24$

$T_7 = 11$

Solving (b): Tn

$T_n = S_n - S_{n-1}$

Where $S_n = n^2 -2n$

Calculate $S_{n-1}$

We have:

$S_{n-1} =(n-1)^2 - 2(n-1)$

Open brackets

$S_{n-1} = n^2 -2n + 1 -2n +2$

$S_{n-1} = n^2 -2n-2n + 1 +2$

$S_{n-1} = n^2 -4n + 3$

So:

$T_n = S_n - S_{n-1}$

$T_n = n^2 - 2n - (n^2 -4n + 3)$

$T_n = n^2 - 2n - n^2 +4n - 3$

Collect Like Terms

$T_n = n^2 - n^2- 2n +4n - 3$

$T_n = 2n- 3$

5 0

3 years ago

What is equation of the line that passes through the point (-3,8) and has an undefined slope

aniked [119]

The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3

<u>Solution:</u>

Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope

Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.

If the slope of the line is undefined, then, by definition the line is a vertical line.

For a vertical line, the value of x is the same for each and every value of y

Given point is (x, y) = (-3 , 8)

Because the value of x in the point provided in the problem is -3, we get

Equation of line is : x = -3

8 0

3 years ago

Which values of m and b will create a system of equations with no solution? Select two options. y = mx + b y = –2x + A system of

Nuetrik [128]

Answer:

m = -2 and b = -1/3

m = -2 and b = -2/3.

Step-by-step explanation:

y = -2x - 1/3

y = -2x - 2/3

This system has no solutions because y cannot be 2 different values at once.

5 0

3 years ago

Read 2 more answers

This was useless because a selected the exact answers and they where all wrong :(

ivanzaharov [21]

Answer:

srry

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

352, 345, 338, ...<br> Find the 43rd term.

Artemon [7]

Answer:

Step-by-step explanation:

first term = a = 352

Common difference = d = second term - first term

= 345 - 352

= (-7)

nth term = a + (n-1)*d

43rd term = 352 + (43-1)*(-7)

= 352 + 42 *(-7)

= 352 - 294

= 58

3 0

2 years ago

What is the next term of the geometric sequence? 4/9,-4/3,4,... ​

What is the next term of the geometric sequence? 4/9,-4/3,4,...