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3 years ago

What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, ...

1 answer:

katrin2010 [14]3 years ago

8 0

The pattern is increasing by 6 every term but, initially decreases by 3 (6-3=3)

Let n=term#
Therefore, the pattern rule would be 6n-3, opposed to simply 6n.
To find the 25th term
6(25)-3=
150-3=
147
The 25 term would be 147.

Hope this helped!

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The solution set of 4x-(x+7)=2(x+3)

maria [59]

Step-by-step explanation:

<h3>To Solve:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

<h3>SOLUTION:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

$\\ \tt{:}\leadsto 4x-x-7=2x+6$

$\\ \tt{:}\leadsto 3x-7=2x+6$

$\\ \tt{:}\leadsto 3x-2x=6+7$

$\\ \tt{:}\leadsto x=13$

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3 years ago

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

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3 years ago

Find the slope of the line through each pair of points (20,-16),(19-16)

ale4655 [162]

Answer:

Undefined slope.

Step-by-step explanation:

The formula should be y2 - y1 over x2 - x1

Points ( 20,-16 ) and ( 19, -16 )

So ( -16 - ( -16 ) ) over ( 19 - 20 )

0 over -1

The slope is 0. Undefined.

3 0

3 years ago

Read 2 more answers

Identify the transformation that was applied to this boomerang.

olga_2 [115]

D. Since the dark part of the boomerang is on the different side, it had to have been rotated

4 0

3 years ago

Read 2 more answers

A triangle with sides of lengths 16,30,and 35 is a right triangle? a. true b. false

Anon25 [30]

-- The square of the shortest side . . . 16² = 256
-- The square of the medium side . . . 30² = 900
-- Their sum . . . (256 + 900) = 1,156

-- The square of the longest side = 35² = 1,225

1,156 and 1,225 are not equal, so these 3 numbers
can be the sides of a triangle, but it's not a right one.

The statement is false. (choice 'b')

8 0

3 years ago