Slope
Is the sequence arithmetic? If it is, what is the common difference?
Arithmetic Sequences
Pythagorean Theorem
100
What is slope formula

m= y2-y1/x2-x1

100

2, 4, 8, 16,...

no, it is geometric 

100

What is the recursive formula for the arithmetic sequence 

an = an-1 + d


100

Finish the sentence. The hypotenuse is [blank] of the hypotenuse

opposite

200

What is the slope of a line passing through the points (2, 4) and (4, 6)?

1

200

−3, −23, −43, −63, ...

yes, d=-20

200

Given the first term and the common difference of an arithmetic sequence find the second and third term. You must show work in order to get your points!!!!!!

a= 28, d = 10

a= 38

a= 48

200

Draw a triangle with one leg being 4 and the other being 8. Find the hypotenuse.

c=sqrt 80



300

What is the slope of a line passing through the points (0, 0) and (3, 30)?

10

300

−7, −9, −11, −13, ...

yes, d=-2

300

What is the explicit formula for arithmetic sequences?

a= a1 + d(n-1)

300

Draw a triangle with one leg being 7 and the other being 10. Find the hypotenuse.

c = sqrt 149

400

Write slope-intercept form

y=mx+b

400

−34, −64, −94, −124, ...

yes, d=-30

400

Given the first term and the common difference of an arithmetic sequence find the second and third term. You must show work in order to get your points!!!!!!

a1 = −34, d = −10

a2 = -44

a3 = -54

400

Draw a triangle with one leg being 2 and the other being 6. Find the hypotenuse.

c = sqrt 40

500

What is the slope of a line passing through the points (-6 ,-6) and (-3, 1)?

7/3

500

9, 14, 19, 24, ...

yes, d=5

500

What is the difference between the explicit and recursive formula?

In order to use the recursive formula, you need to know all of the previous terms to find the next term. For the explicit formula, you only need to know the first term in order to find other terms.

500

Draw a triangle with one leg being 5 and the other being 2. Find the hypotenuse.

c = sqrt 29

M
e
n
u