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3 years ago

Consider the sequence {4,6,8,10,...} find the 130th term of the sequence

Mathematics

1 answer:

Olin [163]3 years ago

3 0

262

Step-by-step explanation:

Step 1:

To find the nth term of a sequence the basic formula is

Sn = (n*d) + (a-d)

Whereas

Sn= nth Term

n= Term to be found

d= Difference between the terms in the sequence

a= First term in the sequence

Step 2:

Sn = (130*2) +(4-2)

= 260+2

Sn= 262

The nth term for the given problem is 262

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Use the following diagram and information to answer the question.

Reika [66]

Answer:

b) Julie can use properties of congruent triangles to show that AB≅BC and BC≅CD. Then she can show BC≅AD because opposite sides of a parallelogram are congruent

Step-by-step explanation:

On the assumption that Julie must show all four sides to be congruent, the one remaining step after using the properties of congruent triangles is to show that side AD is congruent to the rest of the sides. Answer choice B describes that.

___

IMO, Julie is finished after she shows∠A≅∠B and AB≅BC, because a parallelogram will be a square if adjacent sides are congruent (makes it a rhombus) and adjacent angles are congruent (makes it a rectangle). A rhombus that is a rectangle is a square.

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3 years ago

write an equation of the perpendicular bisector of the line segment whose endpoints are (-1,1) and (7,-5)

gladu [14]

Find midpoint of segment.
(-1,1), (7,-5)
$x= \frac{-1+7}{2}=3,y= \frac{1+(-5)}{2}=-2$

Find slope of line which passes through (-1,1) and (7,-5).
$m= \frac{-5-1}{7-(-1)}= \frac{-6}{8}=- \frac{3}{4}$

The slope of perpendicular line is negative reciprocal value of m.
$m_{\perp}=- \frac{1}{m} =- \frac{1}{- \frac{3}{4} } = \frac{4}{3}$

Write quation of line which slope is $\frac{4}{3}$ and passes throug the point (3,-2).
$m=\frac{4}{3},x_1=3,y_1=-2
\\y-y_1=m(x-x_1)
\\
\\y-(-2)=\frac{4}{3}(x-3)
\\
\\y+2=\frac{4}{3}x-\frac{8}{3}
\\
\\3y+6=4x-8
\\4x-3y-14=0$

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3 years ago

What is a factor of 21x² + 13x - 20

Tems11 [23]

Answer:

(7x-5)(3x+4)

Step-by-step explanation:

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3 years ago

In the early months of some year, one site added 0.2 million new accounts every day. at this rate, how many days would be need

inessss [21]

50 days needed for 10 million new account
5 days for 1 million
1 day for 0.2 million

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4 years ago

Read 2 more answers

What is the slope of the line? 2x - 5y = 9 Choose 1 answers 5 2 O

Zepler [3.9K]

9514 1404 393

Answer:

D. 2/5

Step-by-step explanation:

The slope is the x-coefficient when the equation is solved for y.

2x -5y = 9 . . . . . . . given

-5y = -2x +9 . . . . . .subtract 2x

y = (-2/-5)x +9/(-5) . . . . divide by -5

y = 2/5x -9/5

The coefficient of x is 2/5. That is the slope of the line.

The slope is 2/5.

5 0

3 years ago